The generator matrix

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

generates a code of length 21 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+120x^16+48x^17+162x^18+256x^19+271x^20+416x^21+166x^22+256x^23+187x^24+48x^25+86x^26+29x^28+2x^30

The gray image is a code over GF(2) with n=84, k=11 and d=32.
This code was found by Heurico 1.16 in 0.0783 seconds.