The generator matrix

 1  0  0  1  1  1  2  0  1  1  6  1  1  2  1  4  2  1  1  1  1  0  0  0  1  1  1  0
 0  1  0  1  2  3  1  1  6  5  2  0  1  1  2  1  1  2  3  1  4  1  1  1  5  1  2  1
 0  0  1  1  1  0  3  2  1  0  1  4  7  3  3  2  4  2  2  6  0  5  5  2  7  7  0  1
 0  0  0  2  0  6  2  2  2  4  2  2  4  4  6  0  6  4  2  6  6  2  4  6  6  2  4  6
 0  0  0  0  4  0  0  4  0  4  4  4  4  4  0  4  0  4  4  0  0  0  0  0  4  4  0  4
 0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  0  4  0  0  0  0  4  0  0  0  4  4  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  4  0  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+62x^21+201x^22+504x^23+765x^24+1304x^25+1829x^26+2244x^27+2581x^28+2160x^29+1893x^30+1408x^31+726x^32+432x^33+166x^34+68x^35+23x^36+10x^37+6x^38+1x^50

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 5.07 seconds.