The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1  2  2  1  2  2  1  2  2  1  2  2  1  1  1  1  1
 0  2  0  0  0  2  6  2  0  4  2  6  6  2  4  2  6  4  4  0  4  6  6  2  6  0  0  0  0
 0  0  2  0  2  2  6  0  0  0  0  0  4  6  0  2  2  6  6  6  4  0  0  4  6  0  6  0  4
 0  0  0  2  2  0  6  2  0  2  2  4  2  4  2  0  2  2  4  4  6  6  4  2  2  4  4  4  0
 0  0  0  0  4  0  0  0  0  0  4  4  0  0  4  0  0  4  4  0  4  4  0  4  0  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  4  0  0  0  0  4  0  4  4  4  4  4  0  0  4  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  0  4  4  0  4  4  0  4  4  4  0  0  4  4  4
 0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  0  4  4  4  4  0  4  0  0  0  0  4  4  0
 0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  0  4  4  4  0  0  0  0  0  4  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+88x^20+80x^21+218x^22+354x^23+408x^24+1102x^25+571x^26+2452x^27+738x^28+4260x^29+793x^30+2504x^31+603x^32+1168x^33+382x^34+300x^35+196x^36+44x^37+76x^38+22x^39+12x^40+2x^41+7x^42+2x^44+1x^46

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 4.41 seconds.