The generator matrix

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

generates a code of length 51 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+500x^96+560x^99+372x^102+316x^105+198x^108+132x^111+64x^114+40x^117+2x^123+2x^126

The gray image is a code over GF(3) with n=153, k=7 and d=96.
This code was found by Heurico 1.16 in 2.61 seconds.