The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+199x^22+496x^23+981x^24+1304x^25+1927x^26+1908x^27+2467x^28+2244x^29+2074x^30+1336x^31+802x^32+352x^33+204x^34+36x^35+37x^36+4x^37+11x^38+1x^42

The gray image is a code over GF(2) with n=112, k=14 and d=44.
This code was found by Heurico 1.16 in 2.82 seconds.