The generator matrix

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

generates a code of length 38 over Z9 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+54x^76+18x^78+8x^81

The gray image is a code over GF(3) with n=114, k=4 and d=76.
This code was found by Heurico 1.13 in 0.031 seconds.