The generator matrix

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

generates a code of length 33 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+396x^86+252x^87+624x^88+1128x^89+1944x^90+1524x^91+1380x^92+2304x^93+3660x^94+3108x^95+2679x^96+3660x^97+6456x^98+4740x^99+3528x^100+4812x^101+7020x^102+4560x^103+2775x^104+2940x^105+3216x^106+1176x^107+768x^108+516x^109+348x^110+6x^112+12x^116+3x^120

The gray image is a linear code over GF(4) with n=132, k=8 and d=86.
This code was found by Heurico 1.16 in 7.91 seconds.