The generator matrix

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

generates a code of length 24 over Z9 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+34x^36+78x^39+112x^42+162x^44+100x^45+648x^47+104x^48+648x^50+100x^51+72x^54+68x^57+40x^60+18x^63+2x^66

The gray image is a code over GF(3) with n=72, k=7 and d=36.
This code was found by Heurico 1.16 in 0.0348 seconds.