The generator matrix

 1  0  0  0  1  1  1  2  2  1  1  X  0  0  1 X+2  X  1
 0  1  0  0  0  1  1  1  1 X+2  X  0  1  2 X+3  1  1  0
 0  0  1  0  1  1  0  1  3  2  3  1 X+1  X  X  0  1  2
 0  0  0  1  1  2  3 X+1  X X+3  X  1  0  1 X+3  1 X+3  2
 0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  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+110x^13+286x^14+690x^15+836x^16+1352x^17+1572x^18+1420x^19+907x^20+678x^21+206x^22+98x^23+31x^24+4x^25+1x^28

The gray image is a code over GF(2) with n=72, k=13 and d=26.
This code was found by Heurico 1.13 in 0.188 seconds.