The generator matrix

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

generates a code of length 23 over Z9 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+28x^39+82x^42+162x^44+46x^45+324x^47+32x^48+32x^54+10x^57+8x^60+2x^63+2x^66

The gray image is a code over GF(3) with n=69, k=6 and d=39.
This code was found by Heurico 1.16 in 0.0057 seconds.