The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  2  4  1  1  0  0  4  4  1  1
 0  1  0  1  2  3  1  1  0  7  2  1  0  5  2  4  1  1  1  5  4
 0  0  1  1  1  0  3  2  2  2  3  1  1  3  3  1  3  3  0  0  0
 0  0  0  2  0  6  2  2  6  4  2  4  6  0  6  0  0  6  2  4  2
 0  0  0  0  4  0  0  0  4  4  4  0  4  4  0  4  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  0  0  4  4  0  4  4
 0  0  0  0  0  0  4  0  4  0  0  0  4  0  0  0  4  4  4  4  4
 0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  4  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+75x^14+218x^15+549x^16+1270x^17+2199x^18+3738x^19+5359x^20+5894x^21+5376x^22+3806x^23+2224x^24+1266x^25+528x^26+174x^27+56x^28+18x^29+13x^30+2x^32+1x^34+1x^36

The gray image is a code over GF(2) with n=84, k=15 and d=28.
This code was found by Heurico 1.16 in 7.86 seconds.