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

generates a code of length 48 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+196x^81+148x^84+18x^86+142x^87+180x^89+388x^90+720x^92+152x^93+1440x^95+13266x^96+1440x^98+346x^99+576x^101+124x^102+150x^105+238x^108+56x^111+50x^114+44x^117+4x^120+2x^126+2x^129

The gray image is a code over GF(3) with n=432, k=9 and d=243.
This code was found by Heurico 1.16 in 78.3 seconds.