The generator matrix

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

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+84x^33+147x^34+182x^35+269x^36+138x^37+101x^38+44x^39+24x^40+30x^41+2x^43+1x^44+1x^60

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 0.032 seconds.