The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  X  1  1  1 a^2*X  1  1  1  1  1  0 a^2*X  1  X  0  1  1  1 a^2*X  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0 a^2*X a*X  X  1 a^2*X+a a^2 a^2*X+1 a*X+1  1 a*X+a X+1 X+a  1 X+a^2  a a^2*X+a^2  a a^2*X+a^2  1  1 a*X+a^2  1  1  X X+a^2 a*X  0 a*X+1  0 a^2*X+a a^2*X  1 a^2*X+a^2 a^2 a*X+a X+a^2 a^2 a*X+1  1  a
 0  0  1  1  a a^2 X+a^2 a^2*X+a^2 a*X+a^2 X+a a*X+1 a^2*X+a^2 X+1  X a^2*X+a a*X+1 a*X+a  0 a^2*X+1  X a^2*X X+a a^2*X+a^2 a^2*X  1 a*X+a a*X+a^2 a^2*X+a^2 a*X+a  1 a^2 a^2*X  a a^2*X+1 a*X X+a X+1 a*X+a^2 X+a^2 X+a^2 X+a a^2*X+1 X+1

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

Homogenous weight enumerator: w(x)=1x^0+156x^122+744x^123+72x^124+408x^125+204x^126+504x^127+75x^128+96x^129+180x^130+504x^131+60x^132+192x^133+132x^134+264x^135+36x^136+96x^138+288x^139+12x^140+72x^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 88 seconds.