The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+17x^10+70x^12+164x^14+256x^15+253x^16+512x^17+270x^18+256x^19+176x^20+52x^22+10x^24+9x^26+2x^28

The gray image is a code over GF(2) with n=68, k=11 and d=20.
This code was found by Heurico 1.16 in 0.0251 seconds.