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

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

Homogenous weight enumerator: w(x)=1x^0+108x^87+233x^88+220x^89+275x^90+464x^91+577x^92+590x^93+459x^94+324x^95+303x^96+214x^97+128x^98+68x^99+45x^100+42x^101+8x^102+8x^103+17x^104+6x^105+1x^106+4x^107+1x^158

The gray image is a code over GF(2) with n=744, k=12 and d=348.
This code was found by Heurico 1.16 in 1.27 seconds.