The generator matrix

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

generates a code of length 44 over GR(16,4) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+324x^118+492x^119+714x^120+888x^121+1572x^122+1512x^123+2139x^124+1992x^125+2904x^126+3048x^127+2853x^128+2868x^129+3912x^130+4104x^131+4158x^132+3504x^133+4680x^134+4212x^135+4062x^136+3264x^137+3672x^138+3024x^139+2157x^140+1128x^141+1260x^142+504x^143+282x^144+180x^145+108x^146+12x^148+6x^156

The gray image is a code over GF(4) with n=176, k=8 and d=118.
This code was found by Heurico 1.16 in 10.7 seconds.