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  1  1  X  0  1  1  1  1  0  1  1  1  0
 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 a+1  X  1  1 aX+a+1 (a+1)X+1 (a+1)X+a+1 X+a+1  1 aX+a+1 a+1 (a+1)X+1 (a+1)X
 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  1 a+1 (a+1)X+1 (a+1)X (a+1)X  X aX+a  1 aX+a a+1  a (a+1)X+a+1  1
 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 (a+1)X  0 aX+a aX+a  1 (a+1)X+a+1 aX+a+1  X  X X+a aX X+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+828x^145+1056x^146+516x^147+66x^148+2388x^149+3084x^150+1308x^151+219x^152+4284x^153+4968x^154+1344x^155+183x^156+5664x^157+5832x^158+2460x^159+183x^160+6792x^161+6540x^162+2016x^163+195x^164+4824x^165+4104x^166+1248x^167+138x^168+2544x^169+1788x^170+300x^171+33x^172+324x^173+276x^174+24x^175+3x^180+3x^184

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 715 seconds.