The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+226x^87+366x^88+754x^89+614x^90+1012x^91+843x^92+862x^93+772x^94+822x^95+694x^96+608x^97+238x^98+218x^99+33x^100+72x^101+8x^102+20x^103+6x^104+4x^107+2x^108+6x^109+2x^112+2x^113+2x^115+2x^116+3x^120

The gray image is a code over GF(2) with n=744, k=13 and d=348.
This code was found by Heurico 1.16 in 63.8 seconds.