The generator matrix

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

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+228x^88+48x^89+240x^90+576x^91+1131x^92+264x^93+600x^94+1104x^95+1641x^96+360x^97+948x^98+1104x^99+1944x^100+600x^101+756x^102+1392x^103+1695x^104+264x^105+492x^106+432x^107+498x^108+36x^110+12x^112+15x^120+3x^124

The gray image is a linear code over GF(4) with n=132, k=7 and d=88.
This code was found by Heurico 1.16 in 0.42 seconds.