The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+151x^14+616x^15+1238x^16+2382x^17+3531x^18+5632x^19+5401x^20+5846x^21+3813x^22+2392x^23+1029x^24+474x^25+185x^26+64x^27+11x^28+2x^29

The gray image is a code over GF(2) with n=80, k=15 and d=28.
This code was found by Heurico 1.16 in 5.8 seconds.