The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  1  2  1  1  1  0  2  0  4  2  4  0  1
 0  2  0  0  0  0  0  0  0  0  0  2  6  2  4  4  6  6  0  6  4  2  2  2  4  2  0  2  0
 0  0  2  0  0  0  0  0  0  0  2  2  2  4  2  6  4  0  2  6  6  6  0  4  2  2  2  6  0
 0  0  0  2  0  0  0  2  6  2  4  0  0  0  4  2  2  6  4  0  6  2  0  4  2  4  4  4  0
 0  0  0  0  2  0  2  2  2  4  6  4  4  0  2  0  0  2  6  2  6  0  2  6  0  2  0  6  0
 0  0  0  0  0  2  2  4  6  2  0  0  6  2  6  4  0  4  0  4  0  0  4  2  4  6  6  4  0
 0  0  0  0  0  0  4  4  4  0  4  0  0  0  4  4  4  0  0  0  0  4  4  0  0  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+102x^20+98x^21+243x^22+326x^23+491x^24+838x^25+1204x^26+1640x^27+2067x^28+2308x^29+1986x^30+1804x^31+1275x^32+772x^33+536x^34+312x^35+194x^36+74x^37+59x^38+14x^39+25x^40+6x^41+4x^42+5x^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 4.8 seconds.