The generator matrix

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

generates a code of length 19 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+115x^14+288x^15+773x^16+804x^17+1399x^18+1386x^19+1452x^20+866x^21+753x^22+212x^23+106x^24+24x^25+5x^26+2x^27+4x^28+2x^29

The gray image is a code over GF(2) with n=76, k=13 and d=28.
This code was found by Heurico 1.16 in 0.393 seconds.