The generator matrix

 1  0  1  1  1  0  1  1 X+2  1  1  0 X+2  X X+2  X  X
 0  1  1 X+2 X+1  1  0 X+3  1  X  3  1  1  1  1  2  1
 0  0  X  0  0 X+2 X+2 X+2  2  X  0  0  0  X  2  X  X
 0  0  0  2  0  0  0  2  2  2  2  0  0  2  0  2  2
 0  0  0  0  2  0  0  0  0  2  0  2  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  2  2  2  0  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  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+115x^12+428x^14+256x^15+1035x^16+512x^17+904x^18+256x^19+492x^20+76x^22+20x^24+1x^28

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 0.101 seconds.