The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  1  1  0  1  1  1  6  1 12  6  1  1  1  1  0  1  1 15 12  1  1  1  1  1 24  1 12  1  3  1  1  3  3  1  1 12  1  1  1  1  1  1  1 21  1  1  6  3  1  9  1  1  1  1  1  1  1  1  1 12 21  1  1  1 12  1  1  1  1  0  1  1  1  0  1  9  1  1
 0  1  0  0  9 16 16 14  1 14  1 26  1 24  3 22 21 26  7 16  1  9  1  1 17  5 13 17  1 12  4  1 24  4  6  9 11 18  1 14  1 12  1 26 16  1  1 21 26 18  2 25 23  9  6 25  2  1 22  3  1  1  9  1 13  4  1 22 24 12 13 16  2  6  1 20  1 24 21  3 18  4  8  1  5 25 12 15  1  1  6  9
 0  0  1  1 17 17 15 16  7 21 16 23  2  4 24 13  1 17 18  5 23 23  7  6 24  7 14 15 10  5  3  6  1 22 25  6 22 18 26  5 17  2 15  7 20  9 18  0  4  1 24  0 20 10 20  3 23 22  1 24 17  1  7 16 10 12  8 21  6 16 24  2  9  1  5 20 19 18  1 23 16  6 21 23 11  1  3  1 23 24 24 18
 0  0  0 24 18  9  0  9  0 18 18  0  9  0 12 21 12 24 15 21 21  3 21  6  6 21 24  3  6  6  3 12  6  6 12 15 24 12 24 12 18 21  3 18  3 24  0 18 12 24  9 12  6 18 15 24  0  0  6 18 12 12  6  6 21 12  6  9 24 24  6  0 15 21 12  3 12 24  6 15  3  9 12  9 18  6 15 21 24 18 21  9

generates a code of length 92 over Z27 who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+276x^172+498x^173+1500x^174+3210x^175+3588x^176+5502x^177+7710x^178+7638x^179+9426x^180+13122x^181+12492x^182+13224x^183+17124x^184+13644x^185+13818x^186+15450x^187+10956x^188+9090x^189+7494x^190+4014x^191+2932x^192+2232x^193+1002x^194+460x^195+234x^196+48x^197+98x^198+114x^199+42x^200+20x^201+78x^202+18x^203+50x^204+24x^205+6x^206+6x^207+6x^213

The gray image is a code over GF(3) with n=828, k=11 and d=516.
This code was found by Heurico 1.16 in 94.6 seconds.