The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+288x^122+348x^123+612x^124+192x^126+480x^127+507x^128+408x^131+372x^132+192x^135+180x^136+288x^138+108x^139+120x^140

The gray image is a code over GF(4) with n=172, k=6 and d=122.
This code was found by Heurico 1.16 in 4.08 seconds.