The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+146x^86+456x^87+366x^88+556x^89+349x^90+454x^91+518x^92+404x^93+256x^94+292x^95+112x^96+108x^97+30x^98+26x^99+6x^100+4x^101+2x^104+2x^106+4x^107+2x^108+1x^120+1x^130

The gray image is a code over GF(2) with n=728, k=12 and d=344.
This code was found by Heurico 1.16 in 0.9 seconds.