The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+250x^31+228x^32+210x^33+109x^34+116x^35+42x^36+58x^37+3x^38+6x^39+1x^44

The gray image is a linear code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.16 in 125 seconds.