The generator matrix

 1  0  1  1  1  0  1 X+2  1  2  1  1  1  X  1  X  1  0
 0  1  1  0 X+3  1 X+2  1 X+1  1  0 X+3  2  1  3  2  2  1
 0  0  X  0 X+2  X  2 X+2  X  0  X  2  0  X  0  X  2  0
 0  0  0  X  0  X  2 X+2  X  X X+2  X  X  2  0  0  0  2
 0  0  0  0  2  0  2  2  0  2  2  0  2  2  2  0  0  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  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+54x^13+186x^14+288x^15+434x^16+678x^17+814x^18+688x^19+440x^20+290x^21+150x^22+48x^23+20x^24+2x^25+2x^26+1x^32

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 9.5 seconds.