The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^14+486x^15+997x^16+2548x^17+4633x^18+8040x^19+10062x^20+11582x^21+10315x^22+8182x^23+4574x^24+2480x^25+943x^26+444x^27+110x^28+30x^29+13x^30

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 21.3 seconds.