The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+3x^32+40x^33+4x^34+16x^35

The gray image is a linear code over GF(2) with n=264, k=6 and d=128.
This code was found by Heurico 1.16 in 0.016 seconds.