The generator matrix

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

generates a code of length 42 over GR(16,4) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+192x^108+276x^109+420x^110+1080x^111+1470x^112+1776x^113+2304x^114+4128x^115+4023x^116+5484x^117+5424x^118+9468x^119+8220x^120+11220x^121+10440x^122+17100x^123+13677x^124+17532x^125+15300x^126+22800x^127+16698x^128+19272x^129+13872x^130+18360x^131+11403x^132+9924x^133+6600x^134+6396x^135+3306x^136+2004x^137+936x^138+540x^139+333x^140+96x^141+24x^144+30x^148+6x^152+6x^156+3x^160

The gray image is a code over GF(4) with n=168, k=9 and d=108.
This code was found by Heurico 1.16 in 145 seconds.