The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  1  6  1  4  1  1  1  1  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  1  1  0  3  1  5  6  1  3  0  5  3  3  3  3  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  0  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  0  0  4  4  4  4  0  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  0  4  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  0  4  0  4  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  0  0  4  4  4  0  0  4  0  4  0  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  4  0  4  0  4  4  4  0  0  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  0  0  4  4  4  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  4  0  0  4  4  0  0  0  0  0

generates a code of length 28 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+210x^16+78x^19+312x^20+368x^21+56x^22+1842x^23+1688x^24+2080x^25+3224x^26+4364x^27+5136x^28+2432x^29+3888x^30+3364x^31+789x^32+1248x^33+816x^34+582x^35+56x^36+16x^37+152x^38+10x^39+56x^42

The gray image is a code over GF(2) with n=112, k=15 and d=32.
This code was found by Heurico 1.16 in 7.02 seconds.