The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1  1  1  1  1  1  1 2X+2 2X+2
 0  2  0  2  0  2  0  2  2  0  0 2X+2 2X  2 2X 2X+2  0 2X+2 2X+2 2X  2  2 2X  2 2X+2 2X+2  2 2X  0 2X 2X+2 2X+2 2X  0  2  2
 0  0 2X  0  0  0 2X 2X 2X  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0  0 2X  0  0  0 2X  0 2X  0 2X 2X 2X  0 2X 2X
 0  0  0 2X  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X  0  0  0 2X  0  0 2X 2X  0 2X 2X 2X 2X  0 2X  0  0 2X  0
 0  0  0  0 2X 2X 2X 2X  0 2X  0 2X 2X  0  0 2X  0  0 2X 2X 2X  0 2X 2X  0  0 2X  0 2X 2X 2X  0  0  0  0  0

generates a code of length 36 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+10x^33+90x^34+16x^35+274x^36+36x^37+69x^38+13x^40+2x^41+1x^62

The gray image is a code over GF(2) with n=288, k=9 and d=132.
This code was found by Heurico 1.16 in 10.9 seconds.