The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^14+618x^15+1305x^16+2622x^17+4917x^18+7586x^19+9885x^20+11046x^21+10320x^22+7678x^23+4758x^24+2682x^25+1250x^26+502x^27+178x^28+34x^29+8x^30+1x^34+1x^36

The gray image is a code over GF(2) with n=84, k=16 and d=28.
This code was found by Heurico 1.11 in 9.95 seconds.