The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+54x^21+441x^22+896x^23+1866x^24+2878x^25+5757x^26+6306x^27+10312x^28+8184x^29+10427x^30+6714x^31+5827x^32+2832x^33+1826x^34+662x^35+352x^36+130x^37+43x^38+14x^39+10x^40+2x^41+1x^42+1x^46

The gray image is a code over GF(2) with n=116, k=16 and d=42.
This code was found by Heurico 1.16 in 38.6 seconds.