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  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 18 18  9  9  9  0 18 18  9  9  9  0  9 18  9 18  0  9  9 18  9  9 18  0  0  9  0  9  0  9  9  9 18  0  9 18  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  9  0 18 18 18  0 18  9 18 18 18  9  9  9  9  0  9  0 18  0  0  0 18 18  9  9  0  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9 18 18 18  9  9  0  9 18  0  9  0  9  0  9 18  0 18  9  0 18  9  0 18 18 18 18  9 18  9  0
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18 18  9  0  0 18  0 18 18  9 18  0  9  9  0 18  9  0  9  9  0  0 18 18  9  0 18  0  0  0 18
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9  0 18 18  0  0  0 18  9  0 18 18  9 18 18  0  0  9  0 18  9  0  0  0  0 18  0 18  0  9 18

generates a code of length 48 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+62x^84+92x^87+126x^90+110x^93+486x^94+4434x^96+972x^97+70x^99+50x^102+42x^105+36x^108+42x^111+20x^114+10x^117+6x^120+2x^141

The gray image is a code over GF(3) with n=432, k=8 and d=252.
This code was found by Heurico 1.16 in 0.286 seconds.