The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^33+442x^34+360x^35+347x^36+304x^37+284x^38+84x^39+65x^40+20x^41+10x^42+4x^43+1x^44+4x^45+2x^48

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 0.047 seconds.