The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  0  0  1  1  1  1  1
 0  1  0  1  0 X+3  1 X+2  1  2  3  1  1  X  2  1  1  2
 0  0  1  1  1  0  1  X  1  3  X  X X+1  X X+1 X+3  1  0
 0  0  0  X  0 X+2  2  0  X  2  X  X X+2 X+2 X+2  2  0  0
 0  0  0  0  X  0  2 X+2 X+2  0  X  2  X  X  0 X+2  X  X
 0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  2  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+73x^12+164x^13+662x^14+912x^15+2124x^16+2524x^17+3473x^18+2464x^19+2183x^20+956x^21+622x^22+144x^23+67x^24+4x^25+10x^26+1x^34

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 1.56 seconds.