The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  X  1  1
 0  X  0  X  0  2  X X+2  0  2  X  2  0 X+2  2  X X+2  0
 0  0  X  X  0  X X+2  2  0  X  X  X X+2  0 X+2 X+2  2 X+2
 0  0  0  2  0  0  2  0  2  2  0  0  0  2  2  0  2  0
 0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  2  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+20x^14+28x^15+81x^16+48x^17+187x^18+24x^19+72x^20+16x^21+15x^22+12x^23+6x^24+1x^26+1x^30

The gray image is a code over GF(2) with n=72, k=9 and d=28.
This code was found by Heurico 1.16 in 0.00542 seconds.