The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^12+178x^14+652x^16+256x^17+1668x^18+1024x^19+3579x^20+1536x^21+3588x^22+1024x^23+1652x^24+256x^25+680x^26+181x^28+26x^30+15x^32+4x^34+1x^36

The gray image is a code over GF(2) with n=84, k=14 and d=24.
This code was found by Heurico 1.16 in 4.76 seconds.