The generator matrix

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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+120x^155+350x^156+648x^157+1260x^158+2026x^159+1728x^160+2790x^161+3866x^162+3546x^163+4122x^164+5798x^165+5406x^166+5208x^167+6106x^168+4134x^169+4116x^170+3396x^171+1584x^172+960x^173+782x^174+270x^175+138x^176+150x^177+96x^178+84x^179+66x^180+54x^181+102x^182+36x^183+30x^184+36x^185+14x^186+12x^188+6x^189+6x^191+2x^195

The gray image is a code over GF(3) with n=747, k=10 and d=465.
This code was found by Heurico 1.16 in 12.7 seconds.