The generator matrix

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

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+40x^28+156x^29+103x^30+800x^31+370x^32+1160x^33+374x^34+800x^35+99x^36+156x^37+27x^38+1x^40+5x^42+1x^44+2x^46+1x^50

The gray image is a linear code over GF(2) with n=264, k=12 and d=112.
This code was found by Heurico 1.16 in 0.109 seconds.