The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+200x^22+492x^23+917x^24+1436x^25+1800x^26+2084x^27+2380x^28+2300x^29+1814x^30+1476x^31+859x^32+356x^33+180x^34+44x^35+32x^36+4x^37+6x^38+3x^40

The gray image is a code over GF(2) with n=112, k=14 and d=44.
This code was found by Heurico 1.11 in 1.38 seconds.