The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  2  1  1  1  4  1  1  1  1  1  2  2  1  0  1  4  2  1  4  1  1  2  1  2  4  1  4  1
 0 12  0  0  0  4 12  4  8 12  8 12  0  4  8 12  0 12  4  8  0 12 12  0  0 12 12  4 12  4  0  0  8  8 12  4  8  0  4  0  8  4  0  0  4  0  4  8  4  8  4  8 12 12 12 12  0  8  8  0  4  4  8  0  0  4 12  4 12  4  4  0 12  0
 0  0 12  0  4  4  4  8  0  4  8  4  4  0 12  0  0 12 12 12  0  8  0  4  8  0 12  4  8  4  4  4  0  0 12  8  8 12 12  8  4 12 12  4  0  4 12  8  0  0 12  8  0 12 12  0  4  8  0  4  8  0  8  4  4 12  0  8  0  8  8  0  0  0
 0  0  0 12  4  0  4  4  8  0 12  4  4  4  8  0  8  8 12  0 12  4  8 12  4 12 12  4  0  0  4  0  8 12  0  8 12  4  4 12 12 12  8  4  8 12  8  0  8  4  0  0  4  0  0 12 12 12  4  0  0  4  4  8  4  0  4 12  4  4 12  0  8  0
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  8  8  0  0  0  0  8  0  8  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  8  0  8  0  8  8  0  0  8  0  0  8  0  8  8  8  0  8  8  0  8  8  8  0  8  0  0  0  8  8  0  0

generates a code of length 74 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+48x^66+66x^67+74x^68+126x^69+192x^70+222x^71+421x^72+630x^73+645x^74+628x^75+376x^76+218x^77+165x^78+80x^79+57x^80+38x^81+29x^82+18x^83+20x^84+8x^85+4x^86+10x^87+9x^88+4x^89+2x^90+2x^92+2x^94+1x^118

The gray image is a code over GF(2) with n=592, k=12 and d=264.
This code was found by Heurico 1.16 in 0.844 seconds.