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

generates a code of length 42 over GR(16,4) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+54x^104+282x^108+372x^112+48x^114+438x^116+576x^118+441x^120+2592x^122+465x^124+5184x^126+498x^128+3888x^130+477x^132+375x^136+345x^140+189x^144+105x^148+54x^152

The gray image is a code over GF(4) with n=168, k=7 and d=104.
This code was found by Heurico 1.16 in 1.67 seconds.