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  2  0  1 12  1  2  1  2  8  1  2  8  1  4  1  1  2  0  1  1  1  1  1  4  1  2  1  1  2  1  1  8  1  2  2  2  2  1  1  8  1  1  1 12  1  1  1  1  1  4  1  0  2  1  1  2  1  0  8  2  0  8  2  1
 0  2  0  6  4  6 12  2  8  6 12 14  0  2  4 10  0 10 12  2  4  2  0  6  8  2 14 12  6  2  2  2 12  6  6 14  2  0  2  2 12  2 14  8 14  2  6  6 14 12  0  2  2  2  0 12  2 12  6  2  4  0  2  0 10 14  2  2  8  8 12  2 12  2  2  6  4  2 12  2  0  6  8  4 14  2  2 14  8  2  8  0
 0  0 12  0  4  0  0  0  8  4  4  4  4  4  0 12  0  8 12  8  4 12 12 12  8  4  0  0  0  0 12  0 12  4 12 12  4  4  4  8  0 12  4  0  8  4 12  8  4  0 12  0  8  0 12 12 12  0  8  4  0  8  8  8 12  0  4 12 12 12  8  8  0  8  4  0 12  0 12  8  4 12  4  4  4 12 12 12  4 12  0  0
 0  0  0 12  0  0  0  4 12  4 12  8  4  0 12 12  8  4  8  8  4  8  8  4 12 12  0  8  8  0  8  0 12 12 12  0  0 12  0  4  4  0  8  4 12  4  0  8  0  4  8  4  4  4  0  8  0  0  4  0  4 12  4 12 12 12 12  0 12  0 12  4  4  0  0  0  4 12 12  8  8  4  8  8 12  4  4  8  0  8 12  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  0  0  8  8  8  8  0  0  8  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  0  8  8  8  8  8  0  8  0  8  8  0  0  8  0  0  8  8  8  8  0  8  8  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  8  0  8  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  0  0  8  0  8  0  8  8  8  8  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  0  8  0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  8  8  8  0  0  0  0  8  8  0  8  8  8  0  8  8  8  8  0  8  8  8  0  8  8  0  0  8  8  8  8  8  8  0  8  8  8  8  8  0  8  8  0  8  8  8  8  0  8  8  8  0  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  8  0  0  0  8  8  0  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0  8  8  8  0  0  8  0  0  0  0  8  0  8  8  0  0  8  0

generates a code of length 92 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+42x^80+74x^81+212x^82+232x^83+506x^84+502x^85+1060x^86+1054x^87+1939x^88+2226x^89+3408x^90+3182x^91+4202x^92+3070x^93+3365x^94+2184x^95+1991x^96+1052x^97+956x^98+392x^99+427x^100+198x^101+158x^102+98x^103+87x^104+38x^105+45x^106+18x^107+16x^108+6x^109+9x^110+8x^111+4x^112+2x^113+2x^114+1x^116+1x^122

The gray image is a code over GF(2) with n=736, k=15 and d=320.
This code was found by Heurico 1.16 in 35.9 seconds.