The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^33+75x^34+130x^35+61x^36+66x^37+31x^38+30x^39+16x^40+12x^41+5x^42+16x^43+1x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.13 in 1.11e-007 seconds.