The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^14+136x^15+439x^16+488x^17+891x^18+1440x^19+1182x^20+1360x^21+934x^22+584x^23+408x^24+72x^25+100x^26+16x^27+18x^28+2x^30+1x^34

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 0.748 seconds.