The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^20+36x^21+145x^22+256x^23+361x^24+980x^25+1143x^26+2292x^27+1212x^28+3084x^29+1794x^30+2340x^31+826x^32+988x^33+470x^34+220x^35+110x^36+32x^37+29x^38+12x^39+11x^40+3x^42+1x^48

The gray image is a code over GF(2) with n=116, k=14 and d=40.
This code was found by Heurico 1.16 in 3.15 seconds.