The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^14+330x^15+592x^16+1272x^17+1837x^18+2650x^19+2736x^20+2946x^21+1896x^22+1206x^23+477x^24+276x^25+97x^26+22x^27+2x^28+2x^29+1x^30

The gray image is a code over GF(2) with n=80, k=14 and d=28.
This code was found by Heurico 1.16 in 1.57 seconds.