The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+203x^26+938x^27+3296x^28+7866x^29+17697x^30+29028x^31+46511x^32+49538x^33+48361x^34+29622x^35+17444x^36+7496x^37+2793x^38+856x^39+360x^40+90x^41+32x^42+4x^43+4x^44+2x^45+2x^46

The gray image is a linear code over GF(2) with n=264, k=18 and d=104.
This code was found by Heurico 1.16 in 220 seconds.