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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+164x^81+90x^82+72x^83+272x^84+180x^85+342x^86+440x^87+702x^88+108x^89+3712x^90+2196x^91+234x^92+6780x^93+2232x^94+450x^95+542x^96+270x^97+216x^98+266x^99+144x^100+18x^101+108x^102+18x^103+18x^104+38x^105+34x^108+22x^111+6x^114+6x^117+2x^126

The gray image is a code over GF(3) with n=414, k=9 and d=243.
This code was found by Heurico 1.16 in 1.54 seconds.