The generator matrix

 1  0  0  1  1  1  2  1  6  1  6  1  6  0  1  1  6  1  1  1  1
 0  1  0  1  0  1  1  0  1  6  1  3  2  4  1  7  1  0  1  7  0
 0  0  1  1  1  0  1  0  3  3  2  3  1  1  0  3  2  1  6  0  0
 0  0  0  2  0  0  0  0  0  0  4  2  2  6  2  6  4  6  6  2  0
 0  0  0  0  2  0  0  2  2  2  0  2  4  6  4  2  6  0  4  0  4
 0  0  0  0  0  2  0  6  2  6  2  0  4  4  0  2  0  4  2  4  0
 0  0  0  0  0  0  4  4  4  0  4  0  4  0  4  4  0  4  0  0  0

generates a code of length 21 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+48x^13+174x^14+400x^15+1048x^16+2312x^17+4626x^18+7588x^19+10532x^20+12088x^21+10457x^22+7540x^23+4795x^24+2392x^25+977x^26+332x^27+135x^28+56x^29+21x^30+12x^31+1x^34+1x^36

The gray image is a code over GF(2) with n=84, k=16 and d=26.
This code was found by Heurico 1.16 in 20.6 seconds.