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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+28x^89+82x^90+6x^92+4x^94+4x^97+2x^106+1x^120

The gray image is a code over GF(2) with n=720, k=7 and d=356.
This code was found by Heurico 1.16 in 0.42 seconds.