The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  2  1  0  1  1  2  2  1  2  1
 0  2  0  6  0  6  0  6  2  2  4  6  6  2  0  6  0  6  0  0  2
 0  0  4  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  0  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  0  0  4  4  4  0
 0  0  0  0  0  0  4  0  0  4  4  0  4  4  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  4  0  4  0  0  4  0  0  4  0  4  4  0  4
 0  0  0  0  0  0  0  0  4  4  0  4  0  4  0  4  4  0  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+77x^14+193x^16+403x^18+256x^19+817x^20+512x^21+902x^22+256x^23+474x^24+138x^26+46x^28+13x^30+4x^32+3x^34+1x^36

The gray image is a code over GF(2) with n=84, k=12 and d=28.
This code was found by Heurico 1.16 in 0.296 seconds.