The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  X  2  0 X+2  2  1  2  2
 0  1  0  1  0 X+3  1  1  2  X  0  1  1  1  1  2 X+2  0
 0  0  1  1  1  0  1  1  0  3  1 X+3 X+2  X X+1  2  1  1
 0  0  0  X  0  0  0  2  X  X X+2  2 X+2 X+2  X  X  2  2
 0  0  0  0  X X+2 X+2  0  2  X  2 X+2  2 X+2  0 X+2  2 X+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+120x^13+273x^14+620x^15+981x^16+1238x^17+1594x^18+1472x^19+997x^20+508x^21+213x^22+132x^23+36x^24+6x^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 1.16 in 7.01 seconds.