The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  X  1  1  1 aX  1  1  1  1 (a+1)X  1  1  1  0  1  1  1  1  1  1  1 (a+1)X  X  1  1  1  1  1  0  1  1  1
 0  1  0 (a+1)X  X aX  1 (a+1)X+a a+1 (a+1)X+1 X+1  1 X+a+1 aX+1  a  1 (a+1)X+a X+a (a+1)X+a+1 aX+a+1  1  0 aX+a (a+1)X+1  1 a+1  a aX X+a+1 (a+1)X aX+1 X+a  1  1 (a+1)X+a+1 aX+a+1 X+1  X  1  1 aX+a aX+a X+a
 0  0  1  1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a+1 X+a X+1 X+a+1 aX+a (a+1)X  a (a+1)X+1 aX aX+1  0 X+1  a  X  1 aX+a aX aX+a+1  X a+1 (a+1)X+a aX+1  0 aX X+a (a+1)X+a+1 aX aX+1  1  a aX+a+1  a aX+a  a a+1

generates a code of length 43 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+324x^122+264x^123+522x^124+156x^125+324x^126+396x^127+321x^128+120x^129+144x^130+228x^131+330x^132+72x^133+36x^134+180x^135+126x^136+24x^137+324x^138+84x^139+108x^140+12x^141

The gray image is a linear code over GF(4) with n=172, k=6 and d=122.
This code was found by Heurico 1.16 in 16.1 seconds.