The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+21x^14+54x^15+101x^16+136x^17+257x^18+406x^19+641x^20+872x^21+646x^22+386x^23+266x^24+136x^25+94x^26+50x^27+14x^28+8x^29+5x^30+1x^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 0.16 seconds.