The generator matrix

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

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+79x^30+56x^31+273x^32+272x^33+214x^34+56x^35+37x^36+27x^38+8x^40+1x^60

The gray image is a linear code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.047 seconds.