The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  1  1  1  1  X  1  1
 0  X X^3+X^2 X^2+X  0 X^2+X X^3+X^2 X^3+X X^3+X^2 X^2+X  0 X^3+X X^3 X^3+X X^3+X^2 X^2 X^2+X X^3+X  0 X^3+X^2+X X^3+X^2 X^2 X^2+X X^3+X^2+X X^3+X^2  0 X^3 X^3+X X^3+X^2+X X^3 X^2+X X^3+X X^2+X
 0  0 X^3  0  0  0 X^3  0  0  0 X^3 X^3 X^3 X^3  0 X^3  0 X^3  0  0 X^3  0 X^3 X^3  0  0 X^3  0 X^3  0 X^3  0  0
 0  0  0 X^3  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0  0 X^3  0  0 X^3 X^3 X^3  0 X^3  0 X^3  0  0 X^3  0  0 X^3  0
 0  0  0  0 X^3  0 X^3 X^3 X^3 X^3  0 X^3 X^3  0 X^3 X^3 X^3 X^3  0  0  0 X^3  0 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  0  0  0 X^3 X^3  0  0 X^3 X^3 X^3  0  0 X^3  0  0 X^3 X^3 X^3 X^3  0  0  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+38x^28+36x^29+113x^30+268x^31+111x^32+760x^33+484x^34+40x^35+102x^36+36x^37+42x^38+12x^39+4x^40+1x^62

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 0.062 seconds.