The generator matrix

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

generates a code of length 33 over F4[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+120x^88+108x^89+168x^90+864x^91+747x^92+468x^93+432x^94+1812x^95+1116x^96+576x^97+720x^98+1476x^99+1461x^100+576x^101+624x^102+1980x^103+1116x^104+468x^105+360x^106+780x^107+276x^108+108x^109+9x^112+9x^116+6x^120+3x^124

The gray image is a linear code over GF(4) with n=132, k=7 and d=88.
This code was found by Heurico 1.16 in 0.407 seconds.