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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+182x^88+32x^90+16x^92+23x^96+2x^104

The gray image is a code over GF(2) with n=712, k=8 and d=352.
This code was found by Heurico 1.16 in 0.484 seconds.