The generator matrix

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

generates a code of length 19 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+66x^13+230x^14+664x^15+1001x^16+2098x^17+2355x^18+3560x^19+2328x^20+2118x^21+1050x^22+632x^23+190x^24+70x^25+12x^26+8x^27+1x^34

The gray image is a code over GF(2) with n=76, k=14 and d=26.
This code was found by Heurico 1.16 in 1.52 seconds.