The generator matrix

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

generates a code of length 36 over Z2[X]/(X^4) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+244x^33+293x^34+372x^35+355x^36+292x^37+194x^38+212x^39+50x^40+24x^41+1x^42+8x^43+1x^48+1x^52

The gray image is a linear code over GF(2) with n=288, k=11 and d=132.
This code was found by Heurico 1.16 in 11.4 seconds.