The generator matrix

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

generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+99x^108+24x^110+132x^111+429x^112+240x^114+696x^115+915x^116+480x^118+1080x^119+1566x^120+912x^122+2016x^123+2019x^124+1032x^126+1572x^127+1332x^128+384x^130+648x^131+633x^132+57x^136+66x^140+30x^144+12x^148+9x^152

The gray image is a code over GF(4) with n=164, k=7 and d=108.
This code was found by Heurico 1.16 in 0.838 seconds.