The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+571x^12+788x^13+2634x^14+3020x^15+6906x^16+4712x^17+7196x^18+3000x^19+2741x^20+708x^21+378x^22+60x^23+53x^24

The gray image is a code over GF(2) with n=68, k=15 and d=24.
This code was found by Heurico 1.13 in 72.8 seconds.