The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  0  1  0  4  1  1  2  1  1  2  1  1  2  1  1  1  1
 0  2  0  2  0  0  2  6  0  2  2  2  0  4  2  2  4  4  4  2  2  0  2  4  4  0  0  0
 0  0  2  2  0  6  2  0  2  2  0  4  0  2  2  6  2  2  2  2  2  0  6  2  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  0  0  0  4  0  0  4  4  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  4  0  0  4  4  4  0  0  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  0  4  0  0  0  0  4  0  4  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  4  4  4  4  4  4  0  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  0  4  0  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  0  0  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  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  0  0  0  4  4  0  0  4  4  0  4  0  0  0  4  4  0  4  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+203x^16+107x^18+32x^19+586x^20+192x^21+652x^22+736x^23+1847x^24+2464x^25+2985x^26+4768x^27+3628x^28+4768x^29+3086x^30+2464x^31+1532x^32+736x^33+989x^34+192x^35+362x^36+32x^37+320x^38+33x^40+47x^42+6x^46

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 10 seconds.