The generator matrix

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

generates a code of length 46 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+402x^124+696x^125+564x^126+1068x^127+1734x^128+1620x^129+1020x^130+2652x^131+3180x^132+3384x^133+1680x^134+4044x^135+3882x^136+4392x^137+2100x^138+4632x^139+4668x^140+4224x^141+2496x^142+4260x^143+3990x^144+3324x^145+1152x^146+1644x^147+1440x^148+720x^149+204x^150+132x^151+150x^152+72x^153+6x^156+3x^160

The gray image is a linear code over GF(4) with n=184, k=8 and d=124.
This code was found by Heurico 1.16 in 11.5 seconds.