The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1 X^3  1  1  1  1  0  X  1 X^3+X^2  1 X^3  0
 0  X  0  X X^3  0 X^3+X  X X^2 X^2+X X^2 X^3+X^2+X X^3+X^2 X^2 X^2+X X^2+X  X X^2 X^3+X X^3 X^3+X^2+X X^3+X^2 X^3+X^2+X X^3+X^2+X  0  0  X X^3+X  X X^3 X^3+X  X  0
 0  0  X  X X^2 X^2+X X^2+X X^2 X^2 X^3  X X^3+X  0 X^2+X X^3+X^2+X X^3+X^2  X X^3+X  X  X X^2+X  X  X X^2 X^2+X  0 X^3 X^3+X^2+X X^2  X  0  X  X
 0  0  0 X^3 X^3 X^3  0 X^3  0 X^3 X^3  0 X^3  0 X^3  0  0  0  0 X^3  0  0 X^3 X^3  0 X^3  0 X^3  0  0 X^3 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+279x^30+160x^31+492x^32+320x^33+398x^34+160x^35+133x^36+91x^38+13x^40+1x^52

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 15.8 seconds.