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

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

Homogenous weight enumerator: w(x)=1x^0+67x^80+60x^81+129x^82+146x^83+275x^84+174x^85+423x^86+272x^87+777x^88+562x^89+2018x^90+1892x^91+2977x^92+1886x^93+2000x^94+538x^95+739x^96+242x^97+380x^98+154x^99+204x^100+114x^101+116x^102+52x^103+57x^104+30x^105+25x^106+16x^107+13x^108+2x^109+20x^110+2x^111+7x^112+2x^113+7x^114+3x^116+1x^118+1x^138

The gray image is a code over GF(2) with n=736, k=14 and d=320.
This code was found by Heurico 1.16 in 12.8 seconds.