The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+37x^28+68x^29+84x^30+136x^31+406x^32+644x^33+395x^34+122x^35+50x^36+28x^37+29x^38+12x^39+15x^40+12x^41+3x^42+2x^43+3x^44+1x^54

The gray image is a linear code over GF(2) with n=264, k=11 and d=112.
This code was found by Heurico 1.16 in 0.078 seconds.