The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+320x^21+907x^22+1874x^23+3189x^24+4970x^25+7397x^26+8932x^27+9738x^28+9554x^29+7613x^30+5190x^31+2997x^32+1630x^33+811x^34+258x^35+106x^36+38x^37+8x^38+1x^40+2x^43

The gray image is a code over GF(2) with n=112, k=16 and d=42.
This code was found by Heurico 1.11 in 26.6 seconds.