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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+29x^78+52x^79+148x^80+166x^81+285x^82+366x^83+476x^84+540x^85+744x^86+1032x^87+1438x^88+2368x^89+3123x^90+3714x^91+4058x^92+3700x^93+2965x^94+2312x^95+1523x^96+1104x^97+732x^98+482x^99+380x^100+228x^101+223x^102+184x^103+115x^104+72x^105+64x^106+46x^107+43x^108+12x^109+22x^110+4x^111+6x^112+2x^113+3x^114+2x^116+1x^118+1x^120+1x^122+1x^124

The gray image is a code over GF(2) with n=736, k=15 and d=312.
This code was found by Heurico 1.16 in 45.2 seconds.