The generator matrix

 1  0  1  1  1  2  1  1  2  1  1  2  2 X+2  1  1 X+2
 0  1  1  0  1  1 X+1  2  1 X+2  3  1  1  1  0  0  1
 0  0  X  0  0  0  0  X  X X+2 X+2  X  2  0  2  2  0
 0  0  0  X  0  X  X  X X+2  2 X+2 X+2  2  X X+2 X+2  0
 0  0  0  0  X  2  X X+2 X+2  X  2  X  2  X  X  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+58x^12+126x^13+282x^14+350x^15+941x^16+588x^17+943x^18+348x^19+274x^20+118x^21+53x^22+6x^23+6x^24+1x^26+1x^30

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 0.119 seconds.