The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  0  4  1  0  0  1  2  2  2  4  4  1  1  2
 0  2  0  2  0  0  2  6  0  0  2  6  2  0  6  0  2  4  2  2  4  6  4  4  2  2  6  6  0
 0  0  2  2  0  6  2  0  0  6  2  4  2  6  0  2  2  0  0  4  6  0  2  2  6  2  0  6  0
 0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  4  0  0  0  0  4
 0  0  0  0  4  0  0  0  0  0  0  4  4  4  0  4  4  0  0  4  0  0  4  4  4  0  4  4  0
 0  0  0  0  0  4  0  0  0  0  4  0  0  4  0  4  4  4  4  4  4  0  4  0  0  4  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  0  4  0  4  0  0  4  4  4  4  0  4  0  0  4  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  0  4  0  0  0  4  4  0  0  4  4  4  4  4  4  4
 0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  0  4  0  0  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  4  0  4  4  4  0  4  4  0  4  0  0  0  0  4  0  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+178x^20+8x^21+272x^22+128x^23+860x^24+736x^25+1080x^26+1920x^27+1715x^28+2608x^29+1560x^30+1920x^31+1400x^32+736x^33+616x^34+128x^35+392x^36+8x^37+56x^38+58x^40+3x^44+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 4.37 seconds.