The generator matrix

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

generates a code of length 33 over F4[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+57x^84+108x^86+228x^87+159x^88+156x^89+192x^90+1044x^91+165x^92+336x^93+504x^94+1560x^95+126x^96+936x^97+864x^98+2904x^99+138x^100+1104x^101+828x^102+2628x^103+120x^104+540x^105+576x^106+852x^107+105x^108+63x^112+51x^116+27x^120+12x^124

The gray image is a linear code over GF(4) with n=132, k=7 and d=84.
This code was found by Heurico 1.16 in 0.635 seconds.