The generator matrix

 1  1  1  1  1  1  1  2  1  0  1  1  1  2  0  1  1  2  1  1  1  1  2  2  1  1  1  1
 0  2  0  6  0  6  0  2  6  2  0  6  4  6  2  6  0  6  6  0  6  6  6  6  0  0  6  0
 0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  0  0  4  0  0  4  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  0  0  4  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  0  0  0  0  4  0  0  0  0  4  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  0  4  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  4  4  0  0  4  4  0  4  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  4  4  0  4  4  4  0  4  4  0
 0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  0  0  0  4  0  0  4  4  0  4
 0  0  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  0  4  4  0  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+80x^16+146x^18+40x^19+254x^20+136x^21+444x^22+768x^23+842x^24+2624x^25+3534x^26+4624x^27+5786x^28+4624x^29+3432x^30+2624x^31+935x^32+768x^33+526x^34+136x^35+226x^36+40x^37+92x^38+62x^40+18x^42+6x^44

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 9.87 seconds.