The generator matrix

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

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+190x^16+64x^20+1x^32

The gray image is a code over GF(2) with n=68, k=8 and d=32.
This code was found by Heurico 1.16 in 41.1 seconds.