The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  0  0  1  1  2
 0  2  0  0  0  0  0  0  0  2  2  4  2  2  6  4  2  6  6  0
 0  0  2  0  0  0  2  6  2  0  4  0  2  2  4  2  2  6  2  4
 0  0  0  2  0  2  2  2  4  2  4  0  6  2  2  4  4  0  4  4
 0  0  0  0  2  2  0  2  6  4  2  2  2  6  0  4  2  2  6  6
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  0  4  4  4
 0  0  0  0  0  0  4  4  0  4  0  4  0  4  4  4  4  0  4  0

generates a code of length 20 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+54x^13+117x^14+198x^15+314x^16+506x^17+909x^18+1258x^19+1401x^20+1346x^21+943x^22+490x^23+313x^24+198x^25+71x^26+38x^27+19x^28+8x^29+8x^30

The gray image is a code over GF(2) with n=80, k=13 and d=26.
This code was found by Heurico 1.16 in 0.628 seconds.