The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1  1  2  1  1  1  1  2  1  1  1  1 2a  2  2
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a 2a+3 a+1  1  2 2a+3 a+2 a+3  1  2  1 a+2 a+3  1  2 3a+2  3 3a+1  1  2 2a
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2 2a+2 2a+2  0 2a+2  0 2a+2  0  2  2 2a 2a  2 2a+2 2a  2  0 2a+2  0 2a  0
 0  0  0  2 2a 2a  0 2a  2  2  0  2 2a  2  2  0  0  2  2  2  0  0  2  2  2 2a 2a 2a 2a  0 2a+2  2

generates a code of length 32 over GR(16,4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+519x^88+1038x^92+1035x^96+972x^100+510x^104+6x^108+15x^120

The gray image is a code over GF(4) with n=128, k=6 and d=88.
This code was found by Heurico 1.16 in 0.0655 seconds.