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.