__m256d TRANSPOSE4 Equivalent?

Intel has included __MM_TRANPOSE4_PS to transpose a 4x4 matrix of vectors. I'm wanting to do the equivalent with __m256d. However, I can't seem to figure out how to get _mm256_shuffle_pd in the same manner.

_MM_TRANSPOSE4_PS Code

#define _MM_TRANSPOSE4_PS(row0, row1, row2, row3) {                 \
            __m128 tmp3, tmp2, tmp1, tmp0;                          \
                                                                    \
            tmp0   = _mm_shuffle_ps((row0), (row1), 0x44);          \
            tmp2   = _mm_shuffle_ps((row0), (row1), 0xEE);          \
            tmp1   = _mm_shuffle_ps((row2), (row3), 0x44);          \
            tmp3   = _mm_shuffle_ps((row2), (row3), 0xEE);          \
                                                                    \
            (row0) = _mm_shuffle_ps(tmp0, tmp1, 0x88);              \
            (row1) = _mm_shuffle_ps(tmp0, tmp1, 0xDD);              \
            (row2) = _mm_shuffle_ps(tmp2, tmp3, 0x88);              \
            (row3) = _mm_shuffle_ps(tmp2, tmp3, 0xDD);              \
        }

My attempt at a _MM_TRANSPOSE4_PD inside a loop i need it in

for (int copy = i; copy < m2.size();)
{
    __m256d row0 = _mm256_load_pd(m2data + copy);
    copy += m2.col();
    __m256d row1 = _mm256_load_pd(m2data + copy);
    copy += m2.col();
    __m256d row2 = _mm256_load_pd(m2data + copy);
    copy += m2.col();
    __m256d row3 = _mm256_load_pd(m2data + copy);
    copy += m2.col();

    __m256d tmp3, tmp2, tmp1, tmp0;

    tmp0 = _mm256_shuffle_pd(row0,row1, 0x44);          
    tmp2 = _mm256_shuffle_pd(row0,row1, 0xEE);
    tmp1 = _mm256_shuffle_pd(row2,row3, 0x44);
    tmp3 = _mm256_shuffle_pd(row2,row3, 0xEE);

    row0 = _mm256_shuffle_pd(tmp0, tmp1, 0x88);
    row1 = _mm256_shuffle_pd(tmp0, tmp1, 0xDD);
    row2 = _mm256_shuffle_pd(tmp2, tmp3, 0x88);
    row3 = _mm256_shuffle_pd(tmp2, tmp3, 0xDD);

    _mm256_store_pd(reinterpret_cast<double*>(buffer + counter++),row0);
    _mm256_store_pd(reinterpret_cast<double*>(buffer + counter++),row1);
    _mm256_store_pd(reinterpret_cast<double*>(buffer + counter++),row2);
    _mm256_store_pd(reinterpret_cast<double*>(buffer + counter++),row3);
}