The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^13+206x^14+520x^15+1112x^16+1970x^17+4290x^18+4566x^19+7254x^20+4594x^21+4202x^22+2078x^23+1206x^24+454x^25+126x^26+66x^27+26x^28+6x^29+8x^30+2x^31+1x^32

The gray image is a code over GF(2) with n=80, k=15 and d=26.
This code was found by Heurico 1.16 in 5.22 seconds.