The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  6  1  1  0  1  1  1  1  1  0  1  1  2
 0  1  3  6  1  1  0  3  1  6  5  1  0  3  1  5  1  6  3  1  5  3  0  5  0  1  3  5  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  0  4  4  4  4  0  0  0  0  4  4  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  0  4  4  4  0  4  4
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  0  0  4  4  0  0  4  0  4  0  4  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  0  4  4  0  0  0  0  4  0  4  0  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  0  0  4  0  4  0  4  0  0  4  4  4  0  0  4  4
 0  0  0  0  0  0  0  0  4  0  4  4  0  4  0  0  0  0  4  4  4  4  0  4  4  0  0  4  4
 0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  0  4  4  0  4  0  4  4  0  0  4  0  4  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+90x^22+96x^23+534x^24+704x^25+1056x^26+1952x^27+2375x^28+2688x^29+2116x^30+1952x^31+1335x^32+704x^33+304x^34+96x^35+225x^36+18x^38+34x^40+1x^44+1x^52

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 3.06 seconds.