The generator matrix

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

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+72x^14+48x^15+87x^16+96x^17+87x^18+48x^19+72x^20+1x^34

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 0.00495 seconds.