The generator matrix

 1  0  0  1  1  1  2  1  1  1 X+2  1  X  X  1  1  X
 0  1  0  1  X X+3  1  0  2 X+1  1 X+3  1  0  2  2  X
 0  0  1  1  1  0 X+1  X X+1 X+3  0  X  1  1 X+1  1 X+2
 0  0  0  X  0 X+2  X X+2 X+2  2  0  2  2 X+2  0  2  0
 0  0  0  0  2  0  2  0  2  0  2  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  0  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+157x^12+172x^13+756x^14+732x^15+1669x^16+1240x^17+1608x^18+792x^19+778x^20+124x^21+132x^22+12x^23+18x^24+1x^28

The gray image is a code over GF(2) with n=68, k=13 and d=24.
This code was found by Heurico 1.16 in 0.43 seconds.