The generator matrix

 1  0  1  1  1  0  1  1  2  1  6  1  2  1  1  1  1  0  2  6  1
 0  1  1  0  3  1  2  3  1  5  1  6  4  4  2  3  5  1  4  1  0
 0  0  2  6  0  6  2  6  2  0  4  0  2  2  2  0  4  0  2  0  0
 0  0  0  4  0  0  0  0  0  4  4  4  0  4  4  0  4  0  0  4  0
 0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  4  0  0  0  0  4  4  4  4  4  0  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  4  0  0  0  4  4  0  0  4
 0  0  0  0  0  0  0  4  4  0  0  4  4  4  0  0  4  0  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+28x^14+64x^15+183x^16+192x^17+886x^18+448x^19+1967x^20+640x^21+1990x^22+448x^23+892x^24+192x^25+162x^26+64x^27+24x^28+6x^30+4x^32+1x^36

The gray image is a code over GF(2) with n=84, k=13 and d=28.
This code was found by Heurico 1.16 in 0.433 seconds.