The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+23x^16+8x^17+24x^18+8x^19

The gray image is a code over GF(2) with n=68, k=6 and d=32.
This code was found by Heurico 1.16 in 0.000696 seconds.