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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+128x^74+4x^75+286x^76+72x^77+408x^78+220x^79+683x^80+672x^81+1112x^82+1116x^83+1157x^84+712x^85+664x^86+196x^87+275x^88+80x^89+148x^90+131x^92+46x^94+48x^96+16x^98+10x^100+6x^102+1x^128

The gray image is a code over GF(2) with n=664, k=13 and d=296.
This code was found by Heurico 1.16 in 2.8 seconds.