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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+41x^30+122x^31+133x^32+144x^33+227x^34+274x^35+266x^36+238x^37+195x^38+142x^39+85x^40+54x^41+45x^42+38x^43+26x^44+10x^45+4x^46+2x^49+1x^56

The gray image is a code over GF(2) with n=144, k=11 and d=60.
This code was found by Heurico 1.16 in 0.153 seconds.