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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+47x^84+84x^85+205x^86+262x^87+528x^88+528x^89+1201x^90+1144x^91+2058x^92+2176x^93+3266x^94+3036x^95+3907x^96+3038x^97+3296x^98+2136x^99+2093x^100+1106x^101+1026x^102+448x^103+471x^104+174x^105+169x^106+114x^107+78x^108+46x^109+36x^110+22x^111+28x^112+12x^113+13x^114+6x^115+4x^116+4x^117+3x^118+1x^120+1x^130

The gray image is a code over GF(2) with n=768, k=15 and d=336.
This code was found by Heurico 1.16 in 38.3 seconds.