The generator matrix

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

generates a code of length 46 over GR(16,4) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+453x^120+228x^121+324x^122+1092x^123+3033x^124+1164x^125+2352x^126+3480x^127+8163x^128+3324x^129+4584x^130+6564x^131+17109x^132+7092x^133+7296x^134+11676x^135+28221x^136+11436x^137+11316x^138+13980x^139+32310x^140+11988x^141+10608x^142+12192x^143+23100x^144+6468x^145+5376x^146+5340x^147+7671x^148+1260x^149+1152x^150+972x^151+678x^152+48x^153+48x^156+21x^160+12x^164+9x^172+3x^176

The gray image is a code over GF(4) with n=184, k=9 and d=120.
This code was found by Heurico 1.16 in 166 seconds.