The generator matrix

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

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+52x^14+212x^15+269x^16+316x^17+394x^18+288x^19+248x^20+192x^21+48x^22+12x^23+10x^24+4x^25+2x^26

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 0.0322 seconds.