The generator matrix

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

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+20x^13+184x^14+282x^15+557x^16+586x^17+817x^18+636x^19+581x^20+224x^21+146x^22+42x^23+12x^24+2x^25+5x^26+1x^28

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 0.114 seconds.