Linked Map in Java, being unequal if order of keys is different

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Is there a Map in Java or 3rd-party libraries preserving insertion order (similar to LinkedHashMap) which would also check order of keys during comparison (equals() and hashCode() methods) ? So that Map(a => 1, b => 2) would be different from Map(b => 2, a => 1).

Similar to below but I don't want to reinvent and maintain the wheel:

public class EqualityStrictLinkedMap<K, V> extends ForwardingMap<K, V>
{
    ...

    @Override
    public boolean equals(Object o)
    {
        if (!(o instanceof Map))
            return false;
        Map<K, V> that = (Map<K, V>) o;
        return Iterables.elementsEqual(entrySet(), that.entrySet());
    }

    @Override
    public int hashCode()
    {
        int h = 1;
        for (Map.Entry<K, V> entry: entrySet()) {
            h = (h*31 + Objects.hashCode(entry.getKey()))*31 + Objects.hashCode(entry.getValue());
        }
        return h;
    }
}
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