The generator matrix

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

generates a code of length 37 over Z9 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+24x^72+162x^74+48x^75+2x^81+6x^84

The gray image is a code over GF(3) with n=111, k=5 and d=72.
This code was found by Heurico 1.16 in 0.00639 seconds.