The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+248x^27+1481x^28+3754x^29+8676x^30+15586x^31+22525x^32+26196x^33+22967x^34+15670x^35+8941x^36+3356x^37+1116x^38+430x^39+76x^40+36x^41+7x^42+2x^43+2x^45+2x^46

The gray image is a linear code over GF(2) with n=264, k=17 and d=108.
This code was found by Heurico 1.16 in 57.4 seconds.