The generator matrix

 1  0  0  1  1  1  1  1  1  1 a^2*X  1  1  1  1  1  1  0  1  1  1  1  1  0  1  1  1  1  1 a*X a*X  1  1  1  1
 0  1  0  1  a a^2 a^2*X a^2*X  1 a^2*X+a  1  a  0 a^2*X+a^2 a^2*X+a^2 a^2*X+1 a^2*X+a  1 a*X+1  0 a^2*X+a X+a^2 X+1  X a^2*X+a^2  a  X a*X+a^2  a  1  1  a a^2*X+a^2 a^2*X+a a^2*X+a^2
 0  0  1 a^2  a  1  1 a^2 X+1 a^2 a^2  0 X+a  0  a X+a a*X+1  a a^2*X a^2*X+1 a*X+a^2 X+a  1  1 X+1  a  X a^2*X+a a^2*X+1 X+a a^2*X+a a*X+1 a*X+a^2  X a*X
 0  0  0  X  0  X  0  0 a^2*X a*X a^2*X a^2*X a^2*X  X a^2*X a^2*X a*X  0  0 a*X a^2*X  0  X  X  X  0  X  0  X  X a^2*X a^2*X  X  X  0
 0  0  0  0  X a^2*X a*X a^2*X  X  0  0 a*X  X a*X a*X a^2*X a*X a^2*X  X  X a^2*X a^2*X a*X a*X  0 a*X  X a*X  X a^2*X a*X  X  X a^2*X a*X

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

Homogenous weight enumerator: w(x)=1x^0+192x^91+552x^92+384x^93+192x^94+1488x^95+2037x^96+1596x^97+336x^98+2988x^99+4089x^100+2976x^101+672x^102+5328x^103+7275x^104+4536x^105+960x^106+6504x^107+7659x^108+4416x^109+672x^110+4224x^111+3558x^112+1452x^113+240x^114+780x^115+333x^116+42x^120+33x^124+12x^128+6x^132+3x^136

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 46.5 seconds.