The generator matrix

 1  0  1  1  1 14  1  1 10  1  4  1  1  2  1  1  1 12  1 14  1  1 12  1  1 12  1  1  1 12  1  1 10 10  1  1  0  1  1  1  1  2  1  1  1  1  1  4  1  1  1  1  0  1 14 10 12  1  1  1  6  2  1  1  4  8  1  1  4  2  1  1  1  1  0 12  1  1  1  1  2 12  6  1 12 10  6  2  2  1  1  8  1  1  1  1  1
 0  1  1  6 11  1  4  3  1  1  1  2  6  1  9  8 15  1  4  1  5  7  1 10  9  1 12  6 15  1  3  8  1  1  6  3  1  1  2 12  1  1  9  8  8 15 15  1  8  5  2  1  1 10  1  1  1  1 11 13  1  4  7 10  1  1 12 15  2 14 12  2 13  1  1  1  6  8 15  8  1 12  1  1  1  1  1  1  6 12  2  1  1 12 14  2  0
 0  0  2  0  6  0  2  0  6  8 14  6  4 12 14  4 10  0  6 10  4 12  6 10  6 12  6  8 12  0  2  0 10 12 14 12 14 12  8 12  6  6  4  2  4 12  2 14 10  6  8 12 14  2  0 10 14  2  0  8  4  2 14 14  8  0  6  2 10 10  0 10  8 14  2 12  8  8  6  2 14  2  8 14  4 12 12  0 10  4  0  8  0  0  0  0  0
 0  0  0 12  0  0  0  8  0  8  0  8  0  0  0  0  8  8  0  8  0  8 12  4  4 12 12 12 12 12 12 12 12 12  4 12  8  0 12  8  4  8  8  4 12  4  4  0 12  8  4 12 12  8  0  4 12  4  8  8 12  8  8 12 12  0 12  4  4  0  0  0  8 12  4  4  0  4 12  0  0  8 12  4 12  8  0  4  0 12  8  8  8 12  8 12  0
 0  0  0  0 12  4  8  0  0  4  4  4  4  4  8  8  4  8  8  0 12  0 12  8 12  8 12 12  0  4  8  8  0  0 12  4  0  0  4 12  0  4  4  0 12  8 12  0 12 12  8 12  0  8  0 12  8  0 12 12  4  4  0  4  8  4  0  4 12  8 12  8  8  4 12  0  8  0  4  4  8  8  0  0  4  0  8  0  4  0  8 12  0  4 12  8  8

generates a code of length 97 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+45x^88+236x^89+479x^90+1048x^91+1435x^92+2204x^93+2336x^94+3382x^95+3479x^96+3960x^97+3483x^98+3348x^99+2415x^100+1886x^101+1005x^102+898x^103+426x^104+264x^105+134x^106+122x^107+58x^108+34x^109+44x^110+16x^111+10x^112+8x^113+1x^114+2x^115+2x^116+4x^118+1x^120+1x^122+1x^126

The gray image is a code over GF(2) with n=776, k=15 and d=352.
This code was found by Heurico 1.16 in 22.1 seconds.