The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+88x^20+154x^21+546x^22+830x^23+2025x^24+2672x^25+5694x^26+6328x^27+10052x^28+8586x^29+10057x^30+6522x^31+5801x^32+2678x^33+2036x^34+750x^35+444x^36+116x^37+92x^38+32x^39+21x^40+2x^41+6x^42+2x^43+1x^46

The gray image is a code over GF(2) with n=116, k=16 and d=40.
This code was found by Heurico 1.16 in 40.5 seconds.