The generator matrix

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

generates a code of length 53 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+624x^145+1224x^146+528x^147+72x^148+2352x^149+3264x^150+1272x^151+222x^152+4536x^153+4620x^154+1632x^155+150x^156+5844x^157+5736x^158+2028x^159+243x^160+6348x^161+6060x^162+2100x^163+150x^164+5508x^165+4860x^166+1332x^167+126x^168+2172x^169+1584x^170+300x^171+54x^172+264x^173+300x^174+24x^175+6x^180

The gray image is a linear code over GF(4) with n=212, k=8 and d=145.
This code was found by Heurico 1.16 in 40.1 seconds.