The generator matrix

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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+297x^86+224x^87+968x^88+488x^89+1033x^90+544x^91+1151x^92+608x^93+1079x^94+496x^95+748x^96+184x^97+235x^98+16x^99+66x^100+30x^102+6x^104+10x^106+2x^114+2x^116+2x^118+1x^124+1x^128

The gray image is a code over GF(2) with n=736, k=13 and d=344.
This code was found by Heurico 1.16 in 32.7 seconds.