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 18  1  1  1  1  1  1  1  1  1  1  1  0  1  3  3  1  1  1
 0  3  0  0 24 21 15  3 24 21 18  0 24 18 21 15 24  3 24  9  0  9 18 21  3 15 21  3 12 18  9 12  9  6 21 21  3 15  3  0  9  0 21  9 15 15
 0  0  3 24  0 15 21  3  6  6 21 24 24  9  9  3  9  3 12  0 12 21  0 18  3  6  6  3  0  6 12  3 18  0 21 18 15 24 15  3 24 24 24  6 18 12
 0  0  0  9  0  0 18  0  0  9 18 18 18  9 18  9  0  0 18 18  0  9 18 18 18 18  9  9  9 18 18  9  0 18  0  0 18  0  0 18  0  0  9  9 18  9
 0  0  0  0  9 18  0  9 18  0 18 18 18  0  0 18 18  0 18  9 18 18 18  9  0  0 18 18 18  0  9  0 18  0 18  9  0  9  9  9 18 18  9  9 18 18

generates a code of length 46 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+144x^82+228x^83+46x^84+390x^85+486x^86+112x^87+1344x^88+504x^89+1132x^90+3720x^91+3462x^92+2186x^93+3780x^94+468x^95+124x^96+444x^97+438x^98+8x^99+258x^100+180x^101+10x^102+114x^103+54x^104+16x^105+12x^106+12x^107+6x^111+2x^120+2x^126

The gray image is a code over GF(3) with n=414, k=9 and d=246.
This code was found by Heurico 1.16 in 1.47 seconds.