The generator matrix

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

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+288x^30+128x^31+478x^32+256x^33+524x^34+128x^35+203x^36+35x^38+5x^40+1x^44+1x^54

The gray image is a linear code over GF(2) with n=264, k=11 and d=120.
This code was found by Heurico 1.16 in 0.172 seconds.