The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+204x^12+504x^14+128x^15+1217x^16+896x^17+2224x^18+896x^19+1368x^20+128x^21+440x^22+150x^24+32x^26+4x^28

The gray image is a code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 2.73 seconds.