The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  9  9  9  0  9  9  0  9 18  9 18  0 18  0  9  9 18  0 18 18  9
 0  0  9  0  0  0  0  0  9  9 18 18 18  0  9  9 18  0  0  9 18  9  0  9 18  0 18  0  9  9  0
 0  0  0  9  0  0  0  9 18 18 18  9  9  0  0  9  0 18  0  0  0  9  9 18 18 18 18  9  9  0  0
 0  0  0  0  9  0  0 18 18  9  9  0 18  9  0  0  9  0 18 18  9  9  0  0  0  9  9 18  9  9 18
 0  0  0  0  0  9  0 18  9 18  9 18  0  9  9 18 18  9  9 18 18  0 18  0  0  0  0  9 18 18 18
 0  0  0  0  0  0  9  9  0  9  0  9  0  9 18  0 18 18  0  9  0 18 18  9  9  9 18  9 18 18 18

generates a code of length 31 over Z27 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 1.21 seconds.