The generator matrix

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

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+399x^92+408x^93+540x^94+936x^95+2169x^96+1920x^97+1752x^98+2268x^99+3402x^100+3312x^101+2484x^102+3024x^103+6438x^104+4776x^105+3708x^106+4536x^107+6153x^108+4704x^109+3072x^110+2664x^111+3474x^112+1656x^113+732x^114+396x^115+480x^116+120x^117+6x^120+6x^124

The gray image is a linear code over GF(4) with n=140, k=8 and d=92.
This code was found by Heurico 1.16 in 8.62 seconds.