The generator matrix

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

generates a code of length 38 over Z9 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+84x^72+324x^73+48x^75+48x^78+50x^81+162x^82+6x^84+6x^87

The gray image is a code over GF(3) with n=114, k=6 and d=72.
This code was found by Heurico 1.16 in 0.0138 seconds.