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

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

Homogenous weight enumerator: w(x)=1x^0+37x^66+62x^67+84x^68+154x^69+183x^70+236x^71+405x^72+606x^73+659x^74+592x^75+446x^76+206x^77+112x^78+108x^79+53x^80+38x^81+12x^82+18x^83+30x^84+16x^85+17x^86+8x^87+5x^88+4x^89+3x^90+1x^114

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 0.901 seconds.