The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^20+80x^21+121x^22+280x^23+357x^24+956x^25+941x^26+2264x^27+1620x^28+3052x^29+1658x^30+2296x^31+937x^32+980x^33+322x^34+264x^35+118x^36+52x^37+29x^38+16x^39+9x^40+1x^42+4x^44

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 3.17 seconds.