The generator matrix

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

generates a code of length 59 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+624x^166+588x^167+216x^168+1776x^170+1344x^171+180x^172+1932x^174+1356x^175+174x^176+1860x^178+1152x^179+174x^180+1500x^182+900x^183+156x^184+1068x^186+576x^187+87x^188+408x^190+228x^191+21x^192+48x^194+12x^196+3x^204

The gray image is a linear code over GF(4) with n=236, k=7 and d=166.
This code was found by Heurico 1.16 in 1.22 seconds.