The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1 X^3 X^3 X^3  1  1  1  1  1  X  1  1  X  1  X  1  1
 0  X  0 X^3+X^2+X X^3 X^2+X  0  X X^2 X^3+X^2+X X^3+X^2 X^3+X X^3+X^2 X^3+X^2  X X^3+X^2+X  X  X  X  X X^3 X^3 X^3 X^2 X^2+X X^2+X X^2+X  0 X^2+X X^2+X X^3+X X^2+X X^2
 0  0 X^3+X^2  0 X^3 X^3+X^2 X^3+X^2 X^2 X^2 X^2 X^3 X^2 X^2  0 X^3  0 X^3 X^3+X^2  0 X^3+X^2  0 X^2  0 X^3+X^2 X^3+X^2 X^3  0 X^3+X^2 X^2 X^3 X^3 X^2 X^3+X^2
 0  0  0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3  0  0 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^2 X^3 X^3+X^2 X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2  0  0 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2  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+86x^29+90x^30+370x^31+240x^32+520x^33+221x^34+352x^35+73x^36+64x^37+8x^38+10x^39+5x^40+1x^42+4x^43+2x^45+1x^52

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 0.063 seconds.