The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^20+158x^21+277x^22+482x^23+817x^24+1510x^25+2655x^26+3558x^27+4190x^28+4894x^29+4938x^30+3658x^31+2289x^32+1534x^33+894x^34+466x^35+209x^36+92x^37+65x^38+28x^39+13x^40+4x^41+3x^42

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 12.5 seconds.