The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  1  6  1  1  1  1  6  1  0  1  1  1  1  1  1  1
 0  1  0  0  6  0  6  1  4  1  4  8  5  2  5  1  3  7  7  3  1  7  1  1  5  8  8  1  2  5
 0  0  1  0  7  6  8  2  4  5  3  5  7  1  2  2  1  6  4  8  4  8  2  1  3  1  0  3  3  2
 0  0  0  1  5  7  8  1  3  2  6  6  4  3  7  7  6  4  8  1  4  3  8  7  5  5  4  8  3  8

generates a code of length 30 over Z9 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+222x^52+354x^53+132x^54+444x^55+618x^56+116x^57+678x^58+612x^59+200x^60+702x^61+672x^62+180x^63+528x^64+372x^65+82x^66+294x^67+270x^68+16x^69+48x^70+18x^71+2x^72

The gray image is a code over GF(3) with n=90, k=8 and d=52.
This code was found by Heurico 1.16 in 1.69 seconds.