The generator matrix

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

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+759x^92+855x^96+1362x^100+915x^104+177x^108+18x^112+3x^120+6x^124

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 2.81 seconds.