The generator matrix

1 0 0 0 0 0 1 1 1 2 1 1 2 1 1 0 1 1 1 1 2 0 1 0 1 2 2 0 1 1 1 1 2 1 1 2 1 2 0 1 2 0 0 2 1 2 2 1 2 2 0 1 0 1 2 2 2 2 1 1 1 1 0 1 2 0 1 2 1 0 1 1 1 1 0 1 2 1 1
0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 1 3 1 1 3 0 1 3 1 0 2 1 1 3 2 3 2 1 0 0 0 0 2 1 2 1 1 1 2 0 1 2 2 2 1 1 0 1 3 2 1 1 0 0 1 2 3 1 1 2 2 2 2 0 0 0 0 1 0 1 1 0 0 0
0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 3 3 2 2 1 1 0 2 1 3 1 3 2 1 1 3 2 1 2 0 2 3 1 2 1 2 2 2 0 1 0 2 0 1 0 1 0 0 1 0 1 3 1 3 1 1 1 1 2 1 1 3 2 3 1 2 1 0 3 0 0 1 0 0
0 0 0 1 0 0 0 1 1 1 2 1 3 3 2 3 1 2 0 3 0 2 1 1 2 1 2 3 0 3 3 0 0 3 0 1 3 1 2 2 3 3 1 2 3 2 0 0 3 1 3 1 0 0 0 3 2 1 3 0 3 2 2 0 0 1 1 1 2 2 3 3 2 2 1 2 0 0 0
0 0 0 0 1 0 1 0 1 3 2 1 3 3 3 0 2 0 1 3 1 1 2 3 3 2 3 0 0 0 3 2 2 2 3 0 1 2 1 2 3 2 2 1 1 3 1 3 2 1 1 2 3 2 1 2 0 3 0 0 0 2 0 2 2 0 3 0 0 0 0 1 2 0 2 2 0 3 0
0 0 0 0 0 1 1 3 2 1 1 1 0 1 3 2 1 1 2 2 3 3 0 3 0 1 2 1 0 2 2 2 1 1 3 0 3 3 1 1 0 1 2 3 0 0 0 2 2 1 2 0 2 1 1 3 2 2 0 2 3 0 2 0 0 2 3 3 2 0 0 3 0 1 2 0 3 0 0
0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0

generates a code of length 79 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+37x^66+88x^67+158x^68+208x^69+237x^70+332x^71+346x^72+424x^73+389x^74+358x^75+499x^76+436x^77+438x^78+454x^79+433x^80+426x^81+436x^82+416x^83+384x^84+344x^85+280x^86+284x^87+192x^88+164x^89+124x^90+98x^91+87x^92+36x^93+36x^94+18x^95+12x^96+10x^97+5x^98+1x^102+1x^106

The gray image is a code over GF(2) with n=158, k=13 and d=66.
This code was found by Heurico 1.10 in 4.64 seconds.