The generator matrix

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

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+352x^33+808x^34+656x^35+802x^36+428x^37+584x^38+260x^39+90x^40+84x^41+16x^42+12x^43+2x^44+1x^48

The gray image is a linear code over GF(2) with n=288, k=12 and d=132.
This code was found by Heurico 1.16 in 0.359 seconds.