The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  0  4  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  0  4  4  0  0  0

generates a code of length 17 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+78x^4+715x^8+13x^10+1716x^12+286x^14+1287x^16+24576x^17+1287x^18+286x^20+1716x^22+13x^24+715x^26+78x^30+1x^34

The gray image is a code over GF(2) with n=68, k=15 and d=8.
This code was found by Heurico 1.16 in 1.09 seconds.