The generator matrix

 1  0  0  0  1  1  1  4  6  1  1  2  1  0  1  2  0  1  1  0  1
 0  1  0  0  0  1  1  1  0  2  7  1  0  1  5  1  2  1  3  1  0
 0  0  1  0  1  1  2  3  1  3  0  1  0  0  3  3  6  4  4  7  0
 0  0  0  1  1  0  3  1  3  2  2  0  3  3  3  7  1  1  0  3  0
 0  0  0  0  4  0  0  0  0  4  4  4  4  4  0  0  4  4  4  0  0
 0  0  0  0  0  4  0  0  4  4  4  0  0  0  4  0  4  0  0  4  0
 0  0  0  0  0  0  4  4  0  0  4  0  4  0  4  0  4  0  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+73x^14+244x^15+702x^16+1424x^17+2171x^18+4384x^19+4140x^20+6332x^21+4348x^22+4372x^23+2216x^24+1448x^25+564x^26+216x^27+108x^28+12x^29+11x^30+1x^32+1x^34

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 5.32 seconds.