The generator matrix

 1  0  0  1  1  1  1  1  1  1 21 15  1 15  1  1  1  1 21  1  1  0  1 12  1 18  1 18  1  3  0  1  3  1  1  1  1  1  1  1  1  1  1  1 21  1  6  1  1  3  1
 0  1  0  0  9 16 16  1  2 23  1  1 23  1 21  1  5 17  1 15 18 24  8  1 10  1 10  1 20  3  1  6  1 17 16  0  7  7 26 18  4 11 18 15 15 19  1 12 13  1  0
 0  0  1  1 17 17 15  1 23  3 17 19  4  7 11 16 18 13 21 25 18  1 23  2  5  1 16  9  8  1  8 17  8 24  6 25  3  8  2 21  5 15  4 20  1  9 20  4  7 24  0
 0  0  0 24 18  9  0  6  3 12  9  9  0  6 12 21 15  3 12 18  3 24 18  3 12 12  0  6 15  3 24  6 12 12  3 12  6 21 18 21 24  6  6  3  9 15  0 24 15  9 24

generates a code of length 51 over Z27 who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+306x^92+748x^93+1980x^94+3030x^95+4832x^96+6864x^97+9540x^98+12760x^99+15462x^100+18828x^101+20070x^102+20832x^103+20640x^104+17038x^105+11004x^106+6630x^107+3266x^108+1926x^109+720x^110+224x^111+192x^112+48x^113+90x^114+42x^115+30x^116+20x^117+18x^118+6x^122

The gray image is a code over GF(3) with n=459, k=11 and d=276.
This code was found by Heurico 1.16 in 48.5 seconds.