The generator matrix

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

generates a code of length 36 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+62x^33+84x^34+264x^35+286x^36+192x^37+70x^38+20x^39+1x^40+34x^41+5x^42+4x^43+1x^66

The gray image is a code over GF(2) with n=288, k=10 and d=132.
This code was found by Heurico 1.16 in 0.047 seconds.