The generator matrix

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

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+216x^92+300x^93+288x^94+717x^96+648x^97+144x^98+324x^100+192x^101+192x^102+348x^104+312x^105+144x^106+180x^108+84x^109+6x^112

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 0.032 seconds.