The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^87+503x^88+616x^89+867x^90+902x^91+818x^92+774x^93+913x^94+722x^95+822x^96+412x^97+294x^98+202x^99+83x^100+46x^101+24x^102+6x^103+8x^104+8x^105+12x^106+4x^108+16x^109+1x^114+1x^116+1x^126

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 1.99 seconds.