The generator matrix

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

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+158x^12+64x^13+720x^14+832x^15+2526x^16+2176x^17+3424x^18+2176x^19+2540x^20+832x^21+720x^22+64x^23+144x^24+6x^28+1x^32

The gray image is a code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 1.7 seconds.