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

generates a code of length 99 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+117x^86+432x^88+80x^89+559x^90+220x^91+777x^92+684x^93+1082x^94+1688x^95+2168x^96+3308x^97+2927x^98+4284x^99+3764x^100+3476x^101+1811x^102+1764x^103+953x^104+596x^105+603x^106+216x^107+491x^108+48x^109+312x^110+20x^111+199x^112+125x^114+36x^116+14x^118+7x^120+2x^122+3x^124+1x^140

The gray image is a code over GF(2) with n=792, k=15 and d=344.
This code was found by Heurico 1.16 in 49.9 seconds.