The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  3  1  1  1  3  1  1  1  1  1  1  0  6  3  6  6  1  1
 0  1  1  8  7  0  8  1  3  7  2  1  3  4  2  1  4  0  3  1  8  2  1  1  1  1  1  6  6
 0  0  6  0  3  3  6  6  6  0  3  3  3  6  6  6  3  6  0  0  3  0  3  0  0  3  6  0  3

generates a code of length 29 over Z9 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+24x^55+48x^57+126x^58+26x^60+2x^63+12x^64+4x^69

The gray image is a code over GF(3) with n=87, k=5 and d=55.
This code was found by Heurico 1.16 in 0.00275 seconds.