The generator matrix

 1  0  1  1  1  1  1  1
 0  1  1  a 7a+7 8a+4 3a+5  0
 0  0 3a+6  0 3a+6  3 6a+6 3a
 0  0  0  3 3a+6 3a+6  3 3a+3

generates a code of length 8 over GR(81,9) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+448x^45+648x^48+896x^54+34992x^56+10368x^57+2688x^63+157464x^64+279936x^65+41472x^66+2528x^72

The gray image is a code over GF(9) with n=72, k=6 and d=45.
This code was found by Heurico 1.16 in 1.43 seconds.