The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^14+132x^15+222x^16+136x^17+190x^18+104x^19+94x^20+8x^21+17x^22+4x^23+3x^24

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 0.00776 seconds.