The generator matrix

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

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+204x^12+316x^14+1006x^16+1024x^17+1016x^18+364x^20+140x^22+24x^24+1x^32

The gray image is a code over GF(2) with n=68, k=12 and d=24.
This code was found by Heurico 1.16 in 0.469 seconds.