The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  2  4  4  1  1  2  1  1  2  0  0  0  1  1  1  1  1  1
 0  1  0  1  0  1  1  2  3  0  1  1  1  0  3  2  2  1  2  1  1  1  4  6  0  1  6  6  6
 0  0  1  1  1  0  1  3  3  0  2  6  5  1  4  6  1  3  7  7  4  6  1  2  5  3  5  6  0
 0  0  0  2  0  0  0  0  0  0  2  2  6  6  4  6  4  6  6  6  6  4  6  4  0  4  6  4  0
 0  0  0  0  2  0  0  0  0  2  0  2  2  6  2  4  2  2  2  4  0  4  4  0  6  2  6  6  6
 0  0  0  0  0  2  6  6  4  2  2  6  0  2  0  4  6  2  0  6  4  6  4  6  6  0  6  4  6

generates a code of length 29 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+58x^21+192x^22+434x^23+901x^24+1606x^25+2448x^26+3610x^27+4585x^28+4914x^29+4757x^30+3710x^31+2492x^32+1602x^33+794x^34+366x^35+175x^36+76x^37+30x^38+8x^39+6x^40+2x^42+1x^46

The gray image is a code over GF(2) with n=116, k=15 and d=42.
This code was found by Heurico 1.16 in 11.7 seconds.