The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+92x^29+171x^30+176x^31+473x^32+242x^33+482x^34+170x^35+132x^36+80x^37+13x^38+4x^39+2x^40+2x^41+5x^42+2x^43+1x^50

The gray image is a linear code over GF(2) with n=264, k=11 and d=116.
This code was found by Heurico 1.16 in 2.58 seconds.