The generator matrix

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

generates a code of length 21 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+54x^12+16x^13+308x^14+288x^15+1068x^16+1920x^17+5412x^18+5344x^19+13580x^20+9440x^21+13656x^22+5344x^23+5532x^24+1920x^25+1048x^26+288x^27+222x^28+16x^29+52x^30+23x^32+4x^34

The gray image is a code over GF(2) with n=84, k=16 and d=24.
This code was found by Heurico 1.16 in 11.1 seconds.