The generator matrix

 1  0  0  1  1  1  X  1  1  2  1  1  X  1  0  1  2  0
 0  1  0  0  1 X+1  1  X X+3  1  X  3  1  1  1  3  1  1
 0  0  1 X+1 X+3  0  1  X  3  3  1  0  1  X X+1  1  2  0
 0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  0  2  0
 0  0  0  0  2  2  0  2  0  2  0  2  0  0  2  2  0  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+50x^14+230x^15+253x^16+332x^17+305x^18+400x^19+221x^20+164x^21+60x^22+26x^23+4x^24+1x^26+1x^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 0.0311 seconds.