The generator matrix

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

generates a code of length 33 over F4[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+264x^92+300x^93+288x^94+609x^96+588x^97+192x^98+408x^100+276x^101+96x^102+312x^104+324x^105+192x^106+192x^108+48x^109+6x^112

The gray image is a linear code over GF(4) with n=132, k=6 and d=92.
This code was found by Heurico 1.16 in 0.032 seconds.