The generator matrix

 1  0  1  1  1  1  1  3  1  1 24  1  1  1  3  1  1  1  1 21  1  1 21  1  1  1 21  1  1  1  1 15  1  1  9  1  1  1  1  1  6  3  3  1  1  1
 0  1  1 26 18 25 26  1  4 26  1  0  4  0  1 23 25  2  3  1  1  6  1 17  7 17  1  6  2 25 21  1 12 12  1 26  1  8 13 19  1  1 12 19  5 18
 0  0 24  0 18  0  0  9 18 18  0 21  6  6  3 24 12 12 21  3 24  6 15 21  9  6 15 21 24 12 24 12 15  9  6  6 12  0 21  9 21 24  3  6 18 15
 0  0  0  3 21 12  9  3 24  6 15 21 15 18  6 24  3 12  6 12  3 24  9 18  0  3 12  6 18  9 21  0 15 15  0  9 24 15  9 24  3  6 18 15 21  3

generates a code of length 46 over Z27 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+354x^83+414x^84+468x^85+2136x^86+2352x^87+2412x^88+4836x^89+4606x^90+6750x^91+8130x^92+7020x^93+6552x^94+6186x^95+3324x^96+1314x^97+1236x^98+352x^99+318x^101+144x^102+102x^104+12x^105+30x^107

The gray image is a code over GF(3) with n=414, k=10 and d=249.
This code was found by Heurico 1.16 in 9.94 seconds.