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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+148x^88+452x^89+567x^90+834x^91+1091x^92+1148x^93+1765x^94+1482x^95+1869x^96+1574x^97+1509x^98+1162x^99+1030x^100+470x^101+387x^102+258x^103+209x^104+190x^105+76x^106+68x^107+35x^108+30x^109+16x^110+4x^111+8x^113+1x^136

The gray image is a code over GF(2) with n=768, k=14 and d=352.
This code was found by Heurico 1.16 in 8.5 seconds.