The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+304x^85+68x^86+104x^87+276x^88+616x^89+224x^90+72x^91+40x^92+296x^93+28x^94+16x^95+2x^112+1x^128

The gray image is a code over GF(2) with n=712, k=11 and d=340.
This code was found by Heurico 1.16 in 0.537 seconds.