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

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

Homogenous weight enumerator: w(x)=1x^0+21x^80+30x^81+49x^82+92x^83+63x^84+134x^85+128x^86+276x^87+429x^88+420x^89+1132x^90+586x^91+1570x^92+612x^93+1091x^94+416x^95+404x^96+238x^97+114x^98+136x^99+31x^100+86x^101+17x^102+28x^103+16x^104+16x^105+16x^106+2x^107+12x^108+9x^110+8x^112+1x^114+3x^116+3x^118+1x^120+1x^148

The gray image is a code over GF(2) with n=736, k=13 and d=320.
This code was found by Heurico 1.16 in 3.98 seconds.