The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  X  0  X  0  1
 0  1  0  0  1  2  3  1  0  X X+1  3  1 X+2  1  1  X
 0  0  1  0  1  3  2  3  X  1 X+1  0  2  1  X X+1 X+3
 0  0  0  1  2  1  3  3 X+1  X  1 X+2 X+3  3  X  X  0

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+134x^13+420x^14+374x^15+861x^16+524x^17+888x^18+380x^19+352x^20+110x^21+36x^22+14x^23+2x^24

The gray image is a code over GF(2) with n=68, k=12 and d=26.
This code was found by Heurico 1.11 in 0.0549 seconds.