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  2  1  2  1  2  1  2  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  2  2  2  2  2  2  2  2  4  2  2  2  2  0  2  2  2  4  4  8  8  2
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  8  0  8  4  8 12  8  8 12  8  4  8 12  8  4  8 12  8  4  8 12  4  8  8 12  8  4  8  8 12  4  8  8 12  4  8  8 12  4  4  4 12  4  4 12 12 12  8  0  0  8  8  8  4  8  4 12  4  4  4  0
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  8  8  4  4  4 12  4  8  4  8 12  4  8  8 12  4  8  8 12  4  8  8  4  0 12  0  4  4  0  0 12  4  0  0 12 12  8  0 12  4  0  4 12  0  0  4 12  0  8  4 12  4  8  0  4  4  8  8  0 12  4 12  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  8  0  8  0  8  0  8  0  0  0  8  8  0  8  8  8  8  8  0  8  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  8  8  0  8  8  8  0  0  0  0  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+86x^86+32x^87+212x^88+96x^89+232x^90+96x^91+132x^92+32x^93+54x^94+36x^96+12x^98+2x^104+1x^128

The gray image is a code over GF(2) with n=720, k=10 and d=344.
This code was found by Heurico 1.16 in 0.753 seconds.