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.