The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^88+114x^89+241x^90+646x^91+629x^92+1142x^93+1205x^94+1414x^95+1764x^96+1972x^97+1750x^98+1728x^99+1190x^100+948x^101+578x^102+536x^103+194x^104+170x^105+42x^106+26x^107+8x^108+6x^109+12x^110+2x^111+4x^112+4x^114+4x^116+4x^118+2x^120+3x^122+1x^124+1x^126+1x^128

The gray image is a code over GF(2) with n=776, k=14 and d=352.
This code was found by Heurico 1.16 in 6.58 seconds.