The generator matrix

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

generates a code of length 33 over F4[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+312x^86+252x^87+663x^88+1140x^89+1920x^90+1476x^91+1509x^92+2508x^93+3660x^94+2736x^95+3039x^96+4200x^97+5652x^98+4032x^99+4176x^100+5304x^101+6516x^102+4212x^103+3138x^104+3300x^105+3036x^106+1116x^107+765x^108+444x^109+408x^110+12x^112+6x^116+3x^120

The gray image is a linear code over GF(4) with n=132, k=8 and d=86.
This code was found by Heurico 1.16 in 7.66 seconds.