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^3+X^2  1  X  1  1 X^3+X  1  1 X^2  X  1 X^3  1 X^3  1  1  1  1  1 X^3+X^2+X  1
 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^3+X^2  1  X  1 X^3+X  1  1 X^2 X^3+X^2+X+1  1 X^3+X^2+X X^2  1 X^3  1 X+1 X^3+1 X^2+X+1  1  X  1  0
 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^3 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^3 X^2  0 X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3 X^3+X^2 X^2  0 X^2 X^2  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+54x^33+200x^34+150x^35+282x^36+114x^37+108x^38+66x^39+44x^40+2x^42+2x^46+1x^48

The gray image is a linear code over GF(2) with n=288, k=10 and d=132.
This code was found by Heurico 1.16 in 0.266 seconds.