The generator matrix

 1  0  0  0  1  1  1  1  1  4  4  1  6  1  4  6  1  4  6  1  2
 0  1  0  0  0  0  4  7  1  1  4  5  1  2  1  1  1  6  1  7  1
 0  0  1  0  0  1  3  4  1  7  1  3  3  2  4  5  6  1  1  5  2
 0  0  0  1  3  1  2  6  4  6  5  3  3  4  5  2  7  0  4  6  2
 0  0  0  0  4  0  0  0  0  0  4  4  0  0  0  4  4  4  4  0  4
 0  0  0  0  0  4  0  0  0  0  4  4  0  4  4  0  0  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+424x^16+568x^17+1630x^18+1388x^19+2906x^20+2212x^21+3366x^22+1496x^23+1550x^24+416x^25+314x^26+60x^27+46x^28+4x^29+2x^30+1x^32

The gray image is a code over GF(2) with n=84, k=14 and d=32.
This code was found by Heurico 1.16 in 65.3 seconds.