The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  1  1  1  1  1  1  1
 0  1  1  0 X+1  1 X+1  0  1  3 X+3  3  X  3 X+2 X+3  1  0
 0  0  X  0  0  2  X X+2 X+2  2  2  X  X  0  X  0 X+2  0
 0  0  0  X  2  X  X X+2  X  2  X  X  2 X+2 X+2  X  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+36x^14+96x^15+126x^16+166x^17+200x^18+164x^19+106x^20+72x^21+33x^22+12x^23+7x^24+2x^25+2x^26+1x^30

The gray image is a code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0112 seconds.