The generator matrix

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

generates a code of length 33 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+726x^92+957x^96+1278x^100+912x^104+186x^108+18x^112+18x^116

The gray image is a linear code over GF(4) with n=132, k=6 and d=92.
This code was found by Heurico 1.16 in 2.86 seconds.