The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 1 X+2 0 1 1 2 1
0 1 1 X+2 X+3 1 2 X+1 1 X 3 0 1 1 X+3 2 1 X+1
0 0 X 0 X+2 0 X 2 X+2 X 0 0 2 2 X X+2 X+2 0
0 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2
0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2
0 0 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 2
generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+117x^14+64x^15+385x^16+192x^17+552x^18+192x^19+360x^20+64x^21+98x^22+22x^24+1x^30
The gray image is a code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.16 in 0.0872 seconds.