The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+228x^92+612x^95+453x^96+1392x^99+708x^100+3672x^103+840x^104+4464x^107+942x^108+2148x^111+567x^112+237x^116+66x^120+36x^124+9x^128+9x^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 0.698 seconds.