The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+35x^14+100x^15+95x^16+64x^17+87x^18+88x^19+32x^20+5x^22+4x^23+1x^26

The gray image is a code over GF(2) with n=68, k=9 and d=28.
This code was found by Heurico 1.16 in 0.00404 seconds.