The generator matrix

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

generates a code of length 36 over F4[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+180x^92+180x^93+48x^94+276x^95+1041x^96+996x^97+156x^98+1116x^99+2757x^100+2592x^101+432x^102+2364x^103+4728x^104+4488x^105+744x^106+4632x^107+7035x^108+6708x^109+960x^110+4812x^111+6309x^112+5076x^113+732x^114+2028x^115+3042x^116+1464x^117+132x^119+390x^120+63x^124+27x^128+27x^132

The gray image is a linear code over GF(4) with n=144, k=8 and d=92.
This code was found by Heurico 1.16 in 9.14 seconds.