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  1  1  1  1
 0  2  0  6  4 14 12  2  4  6  8 10  8 14 12 10  0  6 12 10 14  8 10  4  6 12  8  2  0 10  4  6  2  0  0 10  4 14  4 14 10  0  0 14 12 10 12 14  6  0  6 12 10  8 12 12 10  0  8 12  6  2 14  2 14 14  2 10  0  4  8  4  8  0 14 10  2  8  8  8 10  2  2  0 14  6  2  6  4  4
 0  0 12  0  4  4  0  4 12  0  4  0  0 12  0 12  8  8  8  8  4  4 12 12 12  4 12  4  8  8  8  8  4  0 12  0 12  4  0  0  4  8 12  8 12  8  8 12  0  0 12  4  0  4  0  8 12  4  8  4  8 12  4  8  8  8 12  4  0  4  8  4  4  4  8  4 12 12  8  0  0  8  0  4 12 12  4  4  8  8
 0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0  8  0  0  8  8  8  0  0  0  8  0  0  8  8  0  8  8  0  0  8  0  0  8  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  0  8  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  8  8  0  8  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  0  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  0  0  8  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  8  8  0  0  0  0  8  0  8  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+182x^86+127x^88+1428x^90+127x^92+182x^94+1x^180

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 8.29 seconds.