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  2  2  2  2  1  4  1  2  4  2  4  2  1  8  1  1  1  2  2  8  1  4  1  1  1  2  2  1  8  0  4  1  0  1  2  2  0  2  8  1  1  4  1  1  1  2  1  1  1
 0 12  0  0  0  0  0  0  0  0  0  8  8  4  4  4  4  4 12  0  4 12  4  0 12 12  4 12  8  0  8  0  4  4  4  4  0  0  4  8 12  0  8  4 12  8  0  0  8  8  4  4  8  0  8  4  8  4  0 12  0  0 12  8  8  0  4 12  8  4  4  8 12  8  4  4  8  4  0  4  8  8  8  4  4  8  4  8  0  4  8  8  0  8 12  8 12  4  8
 0  0 12  0  0  0  0  0  0  0  4  4  4  0  8 12  4 12  8 12  4  0  8 12 12  8 12  0 12  4  0 12  0  4  8  4  0  8  0  8  4  8  0 12 12  8  4  4  0  0  0  8  8 12  8  8  4  8  0 12  4  8  8  4  8 12 12  8  0 12 12  8 12  4 12  0 12  0  8  0  0 12  4 12 12  8  0 12  0  8 12 12  0 12  8  4  0 12  0
 0  0  0 12  0  0  0  4 12 12  4  4  0  8  4  0  8  8  8  8  0  0 12  8  4  4  4  4  4 12  4  4 12 12  4  4 12  4  0  8  0  0  4  0 12  0  4  8  0 12  8  4  4  4 12  0  4  4  0 12  0  0 12 12  4  4 12 12  4  8  4  8  4  8  0  4 12  4  4  8  0 12  4  0  8 12  0 12  4  0  4 12 12 12  4 12  4  8  0
 0  0  0  0 12  0  4  4  4  0  8  0  8  8  8 12  4  8  4 12  8 12  4  4  0  8  0  4  4 12  8  8  4  4  8 12  8  4 12  8  4  4  4  4  8  8  4  8  8  0  0  0  8  4 12 12  8  4 12  0  8  4  4 12  8  4  0 12 12  4  8  0  4 12  8 12  4  8  4  8 12  0  8  8  4  4  4 12  8  4  0  8 12  0  4  8  4  4 12
 0  0  0  0  0 12  4  8  4  4  0  4  4  4  0 12  0  0  8 12 12 12  0  8  8 12 12  4  0 12  4  0 12  4  8  0  0  0  8  4 12  4  4  8  4  8  0  8  4 12  4  8 12  0  0  8  8  4  8  0 12 12  8  4  0 12  8  8  8  4 12  4  4  0  4  0  8  0  8  0 12  4  0  4  4  4 12 12  4  4  4  0  0  8 12  4  8  8  4
 0  0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  8  8  0  0  0  0  8  0  0  8  8  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  8  8  8  8  8  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  0  8  8  8  8  0  0  8  0  8  8  0  8  0  8  0  8  8  8  0  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+30x^86+146x^87+197x^88+278x^89+423x^90+454x^91+612x^92+756x^93+1192x^94+1676x^95+2336x^96+2882x^97+3481x^98+4078x^99+3465x^100+2966x^101+2319x^102+1608x^103+1176x^104+720x^105+506x^106+338x^107+281x^108+232x^109+164x^110+116x^111+92x^112+82x^113+58x^114+26x^115+30x^116+14x^117+16x^118+6x^119+2x^120+6x^121+2x^126+1x^142

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 49.5 seconds.