The generator matrix

 1  0  1  1  1  0  1  1  2  1  X  1  1  X  1  2  X
 0  1  1  0 X+1  1 X+1  0  1  2  1 X+3  X X+2 X+2  X  2
 0  0  X  0  0  0  X X+2  X  X X+2  0  2  X  2 X+2  0
 0  0  0  X  0 X+2  X  X  2  2  0  X X+2  X  0  2  X
 0  0  0  0  2  0  0  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  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+120x^12+84x^13+336x^14+532x^15+558x^16+840x^17+544x^18+488x^19+408x^20+100x^21+80x^22+4x^23+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 0.111 seconds.