The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^21+189x^22+610x^23+771x^24+1346x^25+1555x^26+2598x^27+2179x^28+2550x^29+1483x^30+1422x^31+804x^32+550x^33+165x^34+74x^35+20x^36+4x^37+1x^52

The gray image is a code over GF(2) with n=112, k=14 and d=42.
This code was found by Heurico 1.16 in 2.97 seconds.