The generator matrix

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

generates a code of length 33 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+225x^88+165x^92+921x^96+2382x^100+165x^104+78x^108+75x^112+54x^116+18x^120+9x^124+3x^128

The gray image is a linear code over GF(4) with n=132, k=6 and d=88.
This code was found by Heurico 1.16 in 96.5 seconds.