The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+73x^12+48x^13+468x^14+240x^15+1465x^16+736x^17+2140x^18+736x^19+1458x^20+240x^21+460x^22+48x^23+70x^24+4x^26+5x^28

The gray image is a code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 0.34 seconds.