The generator matrix

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

generates a code of length 33 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+468x^89+360x^90+252x^91+399x^92+1128x^93+1104x^94+504x^95+456x^96+1728x^97+1584x^98+720x^99+372x^100+1944x^101+1488x^102+648x^103+360x^104+1356x^105+840x^106+180x^107+177x^108+288x^109+9x^112+6x^116+6x^120+6x^124

The gray image is a linear code over GF(4) with n=132, k=7 and d=89.
This code was found by Heurico 1.16 in 66.5 seconds.