The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+170x^20+682x^22+80x^23+1290x^24+528x^25+2268x^26+1440x^27+3350x^28+1440x^29+2408x^30+528x^31+1427x^32+80x^33+500x^34+151x^36+30x^38+10x^40+1x^52

The gray image is a code over GF(2) with n=112, k=14 and d=40.
This code was found by Heurico 1.16 in 4.45 seconds.