The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+237x^20+788x^22+1439x^24+192x^25+3150x^26+1792x^27+6583x^28+4224x^29+6690x^30+1792x^31+3348x^32+192x^33+1446x^34+625x^36+210x^38+51x^40+4x^42+3x^44+1x^48

The gray image is a code over GF(2) with n=116, k=15 and d=40.
This code was found by Heurico 1.16 in 18.5 seconds.