The generator matrix

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

generates a code of length 36 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+84x^94+243x^96+552x^98+531x^100+1608x^102+690x^104+3552x^106+1077x^108+4020x^110+996x^112+2328x^114+345x^116+144x^118+108x^120+51x^124+36x^128+12x^132+6x^136

The gray image is a linear code over GF(4) with n=144, k=7 and d=94.
This code was found by Heurico 1.16 in 43.1 seconds.