The generator matrix

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

generates a code of length 58 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+264x^155+495x^156+792x^157+1128x^158+2460x^159+2388x^160+2604x^161+3252x^162+5328x^163+5643x^164+5628x^165+5256x^166+10416x^167+9300x^168+9564x^169+8112x^170+16920x^171+13368x^172+14232x^173+10968x^174+21228x^175+15465x^176+14724x^177+10884x^178+17760x^179+11508x^180+9804x^181+6888x^182+9432x^183+5790x^184+3540x^185+2424x^186+2064x^187+1380x^188+552x^189+240x^190+144x^191+117x^192+30x^196+18x^200+21x^204+9x^208+3x^212

The gray image is a linear code over GF(4) with n=232, k=9 and d=155.
This code was found by Heurico 1.16 in 220 seconds.