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

generates a code of length 45 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+68x^84+78x^87+162x^88+1480x^90+324x^91+14x^93+18x^96+4x^99+26x^102+10x^105+2x^132

The gray image is a code over GF(3) with n=405, k=7 and d=252.
This code was found by Heurico 1.16 in 83.5 seconds.