The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  X  0  X  X
 0  1  1  0 X+3  1  X X+3  1  1  0  1  0  3  1  X  2 X+2
 0  0  X  0 X+2  2  0  0 X+2  2  0 X+2  X  0 X+2  2 X+2  X
 0  0  0  X  0  2 X+2  X  2 X+2  2  0  X  0  X  X  2 X+2
 0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  0  2  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+144x^14+140x^15+296x^16+224x^17+405x^18+296x^19+312x^20+96x^21+90x^22+12x^23+29x^24+1x^26+2x^28

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 1.49 seconds.