The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  1  1  4  1
 0  1  0  0  4  1  5  1  6  2  5  7  0  6  3  1  3
 0  0  1  0  5  1  4  5  0  5  3  2  7  6  2  4  3
 0  0  0  1  1  4  5  5  3  6  7  0  6  4  5  6  1

generates a code of length 17 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+118x^13+349x^14+620x^15+682x^16+628x^17+666x^18+512x^19+338x^20+166x^21+9x^22+4x^23+3x^24

The gray image is a code over GF(2) with n=68, k=12 and d=26.
This code was found by Heurico 1.16 in 0.104 seconds.