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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+314x^86+60x^87+144x^88+208x^89+662x^90+200x^91+80x^92+16x^93+302x^94+28x^95+30x^96+2x^114+1x^128

The gray image is a code over GF(2) with n=720, k=11 and d=344.
This code was found by Heurico 1.16 in 0.547 seconds.