The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+250x^20+758x^22+52x^23+1647x^24+524x^25+3574x^26+2036x^27+6036x^28+2988x^29+5940x^30+1980x^31+3813x^32+580x^33+1700x^34+28x^35+598x^36+4x^37+182x^38+67x^40+6x^42+4x^44

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 18.6 seconds.