The generator matrix

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

generates a code of length 28 over GR(16,4) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+804x^75+408x^76+2532x^79+996x^80+3420x^83+1293x^84+3852x^87+1032x^88+1680x^91+309x^92+51x^96+3x^100+3x^108

The gray image is a code over GF(4) with n=112, k=7 and d=75.
This code was found by Heurico 1.16 in 97.9 seconds.