The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^12+56x^13+146x^14+214x^15+335x^16+576x^17+1125x^18+1824x^19+2443x^20+2816x^21+2468x^22+1868x^23+1122x^24+608x^25+322x^26+176x^27+149x^28+40x^29+34x^30+14x^31+6x^32+1x^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 1.67 seconds.