The generator matrix

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

generates a code of length 35 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+174x^92+48x^94+480x^95+630x^96+288x^98+816x^99+1119x^100+768x^102+1440x^103+2073x^104+1248x^106+2112x^107+2046x^108+720x^110+1152x^111+927x^112+144x^115+66x^116+63x^120+48x^124+18x^128+3x^132

The gray image is a linear code over GF(4) with n=140, k=7 and d=92.
This code was found by Heurico 1.16 in 0.706 seconds.