The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+12x^17+37x^18+12x^19+1x^26+1x^28

The gray image is a code over GF(2) with n=72, k=6 and d=34.
This code was found by Heurico 1.16 in 0.000788 seconds.