The generator matrix

 1  0  1  1  1 3X+2  1  1 2X  1  1 X+2  1  2  1  1  X  1 2X+2 3X  1  1  1  1  1  1  1  1 2X+2 3X  1  1  0  1  1  0
 0  1 X+1 3X+2 2X+3  1 2X+1 2X  1 3X+3 X+2  1 2X+2  1  3 3X  1 X+1  1  1  2 X+3  X  1  0 3X+2  0  2  1  1 3X+2 X+2 2X+2  2  2  X
 0  0 2X+2  0 2X  0 2X 2X+2 2X+2  2  2  2 2X+2  0  2 2X 2X+2  0 2X+2 2X  0 2X 2X+2  2  0 2X+2  2 2X  2 2X+2  0 2X+2  2  2 2X+2  2
 0  0  0 2X 2X 2X  0 2X  0 2X  0 2X  0 2X  0  0  0 2X 2X  0 2X  0 2X 2X 2X 2X  0  0  0 2X  0  0 2X 2X 2X  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+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 code over GF(2) with n=288, k=11 and d=132.
This code was found by Heurico 1.16 in 11.2 seconds.