The generator matrix

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

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+304x^12+408x^13+1496x^14+1464x^15+3257x^16+2352x^17+3472x^18+1584x^19+1400x^20+312x^21+280x^22+24x^23+30x^24

The gray image is a code over GF(2) with n=68, k=14 and d=24.
This code was found by Heurico 1.16 in 1.43 seconds.