The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+180x^29+741x^30+1202x^31+1376x^32+1384x^33+1448x^34+914x^35+566x^36+232x^37+81x^38+42x^39+9x^40+12x^41+2x^42+2x^43

The gray image is a linear code over GF(2) with n=264, k=13 and d=116.
This code was found by Heurico 1.16 in 0.609 seconds.