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  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  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  1  2
 0  2  0  6  8  6  8  2  0 14  8 10  8 14  0 10  8 14  0  2  0 14  0  2  0  6  0  2  8 14  8  2  4  6  4 10 12 14  4  2  4 14 12 10 12  2 12 14  4  6  6  4 12  2  4  2 10  4 14 12 12 10 14 12  6 14  8 12  0 12 14  6  8  4  4 14  6  6  4 10 10  2  4 10  6  4  6  8  4  6
 0  0 12  0  0  4 12  4  8  8  4 12  8 12  4  8  8  8  4  4  8 12 12  8  0  4  0 12 12  0  4  0  4  0  0  4  4  4  0  0 12  8  8  4  8  8  4 12  4  0 12 12  8  0  0 12 12  8  4 12 12  8  8  0  8  4  8  4  8  4  0 12  8  4  4  0 12  4  8  4  0  8  0  0 12  8  0 12 12  0
 0  0  0 12  4 12  4  0  8  4 12  8 12  4  8  8  0 12  4  8  4 12  8  0 12  4  8  0 12  4  0  8  0  0  4  4  4  0  8 12  8  8  4 12  0  4 12  0  8  8  8  4  8  4 12 12  4 12  8  0 12 12  0  0  8 12  4  8 12  0  0  4  8  4 12 12  0  8  4  0 12 12  0  8 12  8  8  0 12  0

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

Homogenous weight enumerator: w(x)=1x^0+198x^86+206x^88+1238x^90+208x^92+194x^94+2x^98+1x^176

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 60.1 seconds.