The generator matrix

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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+270x^183+414x^184+606x^185+1610x^186+1968x^187+2322x^188+3232x^189+3450x^190+3498x^191+4818x^192+4662x^193+4422x^194+4808x^195+5886x^196+4152x^197+4096x^198+3048x^199+1956x^200+1638x^201+732x^202+426x^203+308x^204+126x^205+30x^206+136x^207+54x^208+36x^209+86x^210+36x^211+30x^212+60x^213+30x^214+12x^215+50x^216+26x^219+6x^220+6x^221+2x^228

The gray image is a code over GF(3) with n=873, k=10 and d=549.
This code was found by Heurico 1.16 in 16.5 seconds.