The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^14+90x^15+319x^16+680x^17+1163x^18+1870x^19+2512x^20+2908x^21+2672x^22+1910x^23+1150x^24+624x^25+276x^26+98x^27+48x^28+12x^29+5x^30+2x^32+1x^34

The gray image is a code over GF(2) with n=84, k=14 and d=28.
This code was found by Heurico 1.16 in 1.52 seconds.