The generator matrix
1 1 1 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1
0 X 0 X 0 0 X X+2 2 0 2 2 X X+2 2 0 X+2 X+2
0 0 X X 0 X+2 X 2 0 0 X X X+2 2 X X X+2 0
0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 2
0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0
0 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0
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+80x^14+142x^16+256x^17+96x^18+256x^19+96x^20+80x^22+16x^24+1x^32
The gray image is a code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0246 seconds.