The generator matrix

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

generates a code of length 21 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+107x^14+416x^15+1111x^16+2586x^17+4582x^18+7694x^19+10524x^20+11298x^21+10658x^22+7878x^23+4638x^24+2478x^25+1024x^26+394x^27+108x^28+22x^29+11x^30+2x^31+2x^32+2x^34

The gray image is a code over GF(2) with n=84, k=16 and d=28.
This code was found by Heurico 1.16 in 20.8 seconds.