The generator matrix

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

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+48x^12+258x^13+507x^14+1138x^15+1893x^16+2852x^17+2775x^18+3140x^19+1912x^20+1098x^21+489x^22+202x^23+50x^24+16x^25+5x^26

The gray image is a code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 1.44 seconds.