The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+157x^22+116x^23+633x^24+636x^25+1619x^26+1284x^27+2717x^28+2060x^29+2718x^30+1308x^31+1629x^32+628x^33+602x^34+108x^35+130x^36+4x^37+21x^38+9x^40+3x^42+1x^44

The gray image is a code over GF(2) with n=116, k=14 and d=44.
This code was found by Heurico 1.16 in 56.6 seconds.