The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+58x^13+166x^14+216x^15+568x^16+606x^17+839x^18+640x^19+573x^20+230x^21+145x^22+40x^23+7x^24+2x^25+1x^26+3x^28+1x^30

The gray image is a code over GF(2) with n=72, k=12 and d=26.
This code was found by Heurico 1.16 in 0.109 seconds.