The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+178x^14+208x^15+728x^16+744x^17+1649x^18+1184x^19+1675x^20+720x^21+713x^22+208x^23+155x^24+8x^25+19x^26+1x^28+1x^30

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 0.409 seconds.