The generator matrix

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

generates a code of length 35 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+360x^91+321x^92+492x^93+252x^94+1920x^95+837x^96+1932x^97+636x^98+4344x^99+1713x^100+3336x^101+1368x^102+7536x^103+2667x^104+5736x^105+2232x^106+9672x^107+2985x^108+5196x^109+1452x^110+5712x^111+1416x^112+1740x^113+204x^114+1176x^115+174x^116+63x^120+36x^124+24x^128+3x^132

The gray image is a linear code over GF(4) with n=140, k=8 and d=91.
This code was found by Heurico 1.16 in 14.2 seconds.