The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^14+158x^15+343x^16+572x^17+939x^18+1308x^19+1369x^20+1346x^21+987x^22+566x^23+324x^24+128x^25+53x^26+16x^27+10x^28+2x^29+1x^36

The gray image is a code over GF(2) with n=80, k=13 and d=28.
This code was found by Heurico 1.16 in 0.5 seconds.