The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+318x^14+488x^15+1474x^16+1752x^17+2690x^18+2672x^19+3096x^20+1808x^21+1314x^22+424x^23+292x^24+24x^25+30x^26+1x^32

The gray image is a code over GF(2) with n=76, k=14 and d=28.
This code was found by Heurico 1.16 in 84.8 seconds.