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  1  2  1  8  4  2  1  1  2 12  1  2  1  4  1  1  1  8  1  2  1  1  1  1  1  1  8  1  1  2  1  0  1  1  1  1  1  2  4  1  1  4  2  1  1  1  1  2  1  1  1  2  4  2  2  2  2  1  2  1  1
 0  2  0  6  4 14 12  2  0  6  6 12  8  2 12 10  2  8  4 14  6  8 10 12  0 10 14  8  6  2 12  6 10  8  2  2 14  6  2  2  2  4  6 12  2  2  0  2  2 14 14 14  4  8  6  0  2  2 10  4  2 10  2  8 14  4  2  8 14  2 14  2  0 10  0  8 14  2  4  6  8  8  6  4  2 14 12  8  0  0  6  6
 0  0 12  0  4  4  0  4  0  0 12  8  4  4 12  8  4  0 12  4  8  4  0  0  0  8  4  4  0  0  8  4  8 12 12  4 12  0 12  4  8  4  8  0  4 12  0  8 12  4 12 12 12  4  0  0  0  4  8  8 12  0  0  4  8  0  0  4  4 12  8 12 12  8  4  4 12  4 12 12  0  0  0  4 12  0  4 12  8 12 12  0
 0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  0  0  8  8  8  8  8  0  0  8  8  8  0  8  8  8  0  8  0  0  0  0  8  8  8  0  8  8  8  0  8  0  8  0  8  0  8  8  0  8  0  8  0  0  0  8  0  8  0  0  8  8  8  0  8  0  0  8  8  8  0  8  0  0  8  0  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  0  8  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  0  8  0  0  0  0  8  8  8  0  0  8  8  8  0  8  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  8  8  8  8  8  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8  8  0  8  8  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  0  0  0  8  8  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  0  0  8  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  0  8  0  8  0  0  8  0  8  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  8  0  0  8  8  0  8  0  0  0  8  0  8  0  0  8  8  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  0  0  8  8  0  8  0  8  8  0  0  8  0  8  8  8  0  0  8  8  8  8  0  8  8  0  8  0  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+64x^80+78x^81+199x^82+224x^83+395x^84+518x^85+940x^86+972x^87+2138x^88+1798x^89+4005x^90+2566x^91+5183x^92+2654x^93+4007x^94+1790x^95+1974x^96+882x^97+867x^98+452x^99+374x^100+186x^101+151x^102+112x^103+92x^104+26x^105+42x^106+22x^107+15x^108+2x^109+21x^110+6x^111+3x^112+5x^114+1x^116+1x^118+1x^122+1x^130

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 36.5 seconds.