The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^14+428x^15+1203x^16+2412x^17+4710x^18+7756x^19+10227x^20+11536x^21+10618x^22+7832x^23+4779x^24+2412x^25+982x^26+364x^27+141x^28+24x^29+17x^30+4x^31+1x^32

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 22.5 seconds.