The generator matrix

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

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+108x^29+331x^30+634x^31+659x^32+722x^33+608x^34+600x^35+281x^36+94x^37+31x^38+14x^39+2x^40+2x^41+6x^42+1x^44+2x^45

The gray image is a linear code over GF(2) with n=264, k=12 and d=116.
This code was found by Heurico 1.16 in 0.109 seconds.