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

generates a code of length 40 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+201x^108+123x^112+192x^114+237x^116+1152x^118+45x^120+1728x^122+153x^124+51x^128+114x^132+24x^136+51x^140+9x^144+9x^148+3x^152+3x^156

The gray image is a code over GF(4) with n=160, k=6 and d=108.
This code was found by Heurico 1.16 in 0.559 seconds.