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

generates a code of length 94 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+55x^82+96x^83+154x^84+276x^85+307x^86+718x^87+638x^88+1702x^89+1003x^90+3398x^91+1868x^92+5066x^93+2291x^94+5090x^95+1789x^96+3530x^97+1148x^98+1668x^99+492x^100+568x^101+230x^102+250x^103+112x^104+90x^105+60x^106+38x^107+44x^108+26x^109+17x^110+6x^111+18x^112+6x^113+5x^114+2x^116+2x^118+2x^120+1x^122+1x^134

The gray image is a code over GF(2) with n=752, k=15 and d=328.
This code was found by Heurico 1.16 in 37.6 seconds.