The generator matrix

 1  0  0  1  1  1  X  2  1  1  1  X  2  1  1  0  1
 0  1  0  1  0 X+3  1  X X+2 X+2  1  1  1 X+2  3  1 X+3
 0  0  1  1  1  0  1  1  X  1 X+1  1  0 X+3  X X+2 X+1
 0  0  0  X  0 X+2  2  X  2  X  0 X+2 X+2 X+2  X X+2  X
 0  0  0  0  X  0  2 X+2 X+2  0 X+2 X+2  0  X  X  2 X+2
 0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  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+313x^12+352x^13+1346x^14+1392x^15+3430x^16+2656x^17+3500x^18+1408x^19+1381x^20+320x^21+242x^22+16x^23+25x^24+2x^28

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 62.8 seconds.