The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+258x^20+12x^21+844x^22+372x^23+2322x^24+1968x^25+5846x^26+6016x^27+11139x^28+7816x^29+11184x^30+6056x^31+6020x^32+1968x^33+2420x^34+352x^35+664x^36+12x^37+180x^38+4x^39+72x^40+6x^42+3x^44+1x^48

The gray image is a code over GF(2) with n=116, k=16 and d=40.
This code was found by Heurico 1.16 in 45.5 seconds.