The generator matrix

 1  0  1  1 X^2  1 X^3+X^2  1  1  1  1  0  1  1 X^2+X  1  1  X  1  1  1  1  X  1  1  1 X^2 X^3  1 X^3 X^2+X  1  1
 0  1  1 X^2+X  1 X^2+X+1  1 X^2 X^3+X^2+X+1  X X^3+1  1  0 X^2+X+1  1 X^3+1 X^2+X+1  1 X^2 X^3+X^2+1 X+1 X^2+1  1 X^2+X X^3+X+1  0  1 X^3 X^3+X^2+X  1  1  0  1
 0  0  X  0 X^3+X  X X^3+X^2+X X^3+X X^3 X^3+X X^3 X^3+X^2 X^3+X^2 X^2  0 X^3+X^2+X X^3+X^2+X  X X^2+X  X  0 X^3 X^3+X^2+X X^2+X X^2 X^2 X^2  X X^3+X^2  0 X^3+X^2+X X^2+X X^3+X^2
 0  0  0 X^3  0 X^3 X^3 X^3  0  0 X^3 X^3  0  0 X^3  0 X^3  0 X^3 X^3 X^3  0  0 X^3  0 X^3  0  0  0 X^3  0 X^3  0

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+532x^30+352x^31+980x^32+464x^33+970x^34+320x^35+372x^36+16x^37+61x^38+21x^40+4x^42+2x^44+1x^46

The gray image is a linear code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 140 seconds.