The generator matrix

 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  1  1  1  1  1  1
 0  6  0  0  0  0  0  0  0  0  6  6  6  0  6  6  0  6  3  6  3  0  3  0  6  6  3  0  3  3  6
 0  0  6  0  0  0  0  0  6  6  3  3  3  0  6  6  3  0  0  6  3  6  0  6  3  0  3  0  6  6  0
 0  0  0  6  0  0  0  6  3  3  3  6  6  0  0  6  0  3  0  0  0  6  6  3  3  3  3  6  6  0  0
 0  0  0  0  6  0  0  3  3  6  6  0  3  6  0  0  6  0  3  3  6  6  0  0  0  6  6  3  6  6  3
 0  0  0  0  0  6  0  3  6  3  6  3  0  6  6  3  3  6  6  3  3  0  3  0  0  0  0  6  3  3  3
 0  0  0  0  0  0  6  6  0  6  0  6  0  6  3  0  3  3  0  6  0  3  3  6  6  6  3  6  3  3  3

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+78x^48+218x^51+246x^54+240x^57+1720x^60+13122x^62+3158x^63+316x^66+244x^69+184x^72+118x^75+32x^78+4x^84+2x^90

The gray image is a code over GF(3) with n=279, k=9 and d=144.
This code was found by Heurico 1.16 in 1.25 seconds.