The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^86+372x^87+274x^88+244x^89+167x^90+232x^91+212x^92+330x^93+91x^94+36x^95+1x^98+2x^101+2x^106+1x^126+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 0.791 seconds.