The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  X  1  X  1  1  1  1  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0 2X  X 2X  X 2X  X 2X  X 2X  0  X  0  0 2X  X  X  X  0 2X  X  X 2X  X 2X  0  X 2X 2X  X  0 2X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X 2X 2X  0  X  0 2X  X  0  0  X 2X  0  X 2X  X 2X  X  X  0  X  X 2X  X  0 2X  0  X  0 2X  0  0  0  X  0
 0  0  0  X  0  0  0  0  0  X  X 2X 2X 2X  0 2X  0  X  X  X  X 2X 2X  0  0  0  0 2X 2X  X  X  X  X 2X  0  0  0  X  0  0  X 2X  X  X  0  X 2X  0
 0  0  0  0  X  0  0  0  X 2X 2X 2X  X  X 2X 2X  X 2X  0 2X  0 2X  X 2X  X  X  0  X  0  0  X  0  X  X 2X  X  0  X 2X  X 2X 2X 2X 2X  0  0  0  0
 0  0  0  0  0  X  0  0 2X 2X  X  X  0 2X  0  X  X  0  X  0  0 2X 2X  0  X  X  0 2X  X 2X  X 2X  X 2X  X  0 2X 2X 2X  X  0  X 2X 2X 2X  X  0  0
 0  0  0  0  0  0  X  0 2X  X 2X  X 2X  0  0  0  0  X 2X 2X  0  0 2X  X  X  X 2X  X  X  X  X  X 2X  X 2X 2X  0  X  0  X 2X  X  0  0  X  0 2X  X
 0  0  0  0  0  0  0  X  X  0  X  0  X  0 2X 2X 2X 2X 2X  0  X  0  0 2X 2X  X 2X  0 2X 2X  0  0  X  0  0 2X  X  X  X  0 2X  X  X 2X  0  0  X 2X

generates a code of length 48 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+62x^75+200x^78+388x^81+410x^84+500x^87+162x^88+674x^90+1296x^91+680x^93+3888x^94+692x^96+5184x^97+688x^99+2592x^100+666x^102+606x^105+428x^108+314x^111+158x^114+62x^117+26x^120+2x^123+2x^129+2x^132

The gray image is a linear code over GF(3) with n=144, k=9 and d=75.
This code was found by Heurico 1.16 in 7.54 seconds.