The generator matrix

 1  0  0  1  1  1  6  1  1  1  4  1  2  4  1  1  2  2  1  1  1  1  4  0  1  6  1  1  1
 0  1  0  1  6  3  1  0  1  4  1  3  1  2  2  2  2  1  5  2  1  3  1  1  0  1  5  2  0
 0  0  1  1  3  6  3  6  3  1  2  0  1  1  2  1  1  2  3  1  2  0  1  3  3  0  3  1  0
 0  0  0  4  0  0  0  0  0  0  0  0  4  4  0  4  0  4  4  4  0  4  0  0  4  4  0  0  0
 0  0  0  0  4  0  0  0  0  4  0  4  4  4  0  4  4  4  0  0  0  0  0  4  4  0  0  4  0
 0  0  0  0  0  4  0  0  0  0  4  4  4  4  0  0  0  4  0  0  4  0  4  0  4  4  0  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  0  4  0  0  4  0  4  4  4  4  0  0  0  4
 0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  4  0  4  4  4  4  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  0  0  4  4  0  0  4  4  0  4  4  4  4  0  0  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+34x^20+56x^21+194x^22+374x^23+897x^24+1488x^25+2618x^26+3704x^27+4428x^28+5088x^29+4468x^30+3764x^31+2658x^32+1520x^33+868x^34+344x^35+162x^36+40x^37+42x^38+6x^39+11x^40+2x^42+1x^48

The gray image is a code over GF(2) with n=116, k=15 and d=40.
This code was found by Heurico 1.16 in 9.31 seconds.