The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+256x^30+920x^31+564x^32+904x^33+461x^34+568x^35+194x^36+152x^37+50x^38+16x^39+9x^40+1x^42

The gray image is a linear code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 0.078 seconds.