The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+191x^20+630x^21+1633x^22+3460x^23+6411x^24+10160x^25+14552x^26+18492x^27+19555x^28+18476x^29+15308x^30+10468x^31+6180x^32+3168x^33+1468x^34+596x^35+206x^36+78x^37+31x^38+8x^39

The gray image is a code over GF(2) with n=112, k=17 and d=40.
This code was found by Heurico 1.11 in 66.1 seconds.