The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  X  2 X+2  0  1  1  1
 0  1  0  1  0 X+3  1  1  2  X  0  1  1  1  1  2 X+1
 0  0  1  1  1  0  1  1  0  3  1 X+3  3  X  2 X+1  X
 0  0  0  X  0  0  0  2  X  X X+2  2 X+2 X+2  2  X  X
 0  0  0  0  X X+2 X+2  0  2  X  2 X+2  0  2  2 X+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+133x^12+156x^13+752x^14+740x^15+1673x^16+1256x^17+1680x^18+792x^19+746x^20+124x^21+128x^22+4x^23+6x^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 0.452 seconds.