The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+318x^14+556x^15+1331x^16+1816x^17+2594x^18+2936x^19+2902x^20+1872x^21+1282x^22+444x^23+244x^24+56x^25+30x^26+2x^28

The gray image is a code over GF(2) with n=76, k=14 and d=28.
This code was found by Heurico 1.11 in 4.63 seconds.