The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  3  0
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  3  0
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  0

generates a code of length 20 over Z9 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+22x^36+54x^38+38x^39+108x^41+4x^45+14x^48+2x^57

The gray image is a code over GF(3) with n=60, k=5 and d=36.
This code was found by Heurico 1.16 in 0.00113 seconds.