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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+90x^48+132x^51+84x^54+486x^56+90x^57+4374x^58+972x^59+84x^60+82x^63+80x^66+54x^69+22x^72+8x^75+2x^84

The gray image is a code over GF(3) with n=261, k=8 and d=144.
This code was found by Heurico 1.16 in 0.355 seconds.