The generator matrix

 1  0  1  1  1  6  1  4  1  1  1  1  4  6  1  4  0
 0  1  1  6  3  1  4  1  7  4  3  4  1  1  4  1  2
 0  0  2  0  6  4  2  2  2  6  4  0  2  0  2  6  6
 0  0  0  4  0  4  0  4  4  0  0  0  4  4  4  0  0
 0  0  0  0  4  0  4  0  0  0  4  4  4  4  4  4  0

generates a code of length 17 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+180x^14+317x^16+396x^18+96x^20+28x^22+2x^24+4x^26

The gray image is a code over GF(2) with n=68, k=10 and d=28.
This code was found by Heurico 1.16 in 27.6 seconds.