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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+99x^108+321x^112+348x^116+507x^120+768x^123+390x^124+4608x^127+552x^128+6912x^131+468x^132+405x^136+396x^140+330x^144+201x^148+60x^152+15x^156+3x^164

The gray image is a code over GF(4) with n=172, k=7 and d=108.
This code was found by Heurico 1.16 in 1.74 seconds.