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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+60x^186+40x^189+162x^190+1520x^192+324x^193+20x^195+40x^198+10x^201+8x^204+2x^285

The gray image is a code over GF(3) with n=864, k=7 and d=558.
This code was found by Heurico 1.16 in 0.55 seconds.