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

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

Homogenous weight enumerator: w(x)=1x^0+70x^89+140x^90+16x^91+12x^92+4x^94+3x^96+8x^97+2x^105

The gray image is a code over GF(2) with n=720, k=8 and d=356.
This code was found by Heurico 1.16 in 1.68 seconds.