The generator matrix

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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+804x^183+1230x^184+1536x^185+3294x^186+3948x^187+3288x^188+5316x^189+4830x^190+3570x^191+5208x^192+4692x^193+3216x^194+4554x^195+3558x^196+2466x^197+2312x^198+2112x^199+786x^200+1288x^201+486x^202+186x^203+234x^204+18x^205+6x^206+54x^207+6x^208+12x^210+18x^211+6x^212+6x^213+2x^219+6x^221

The gray image is a code over GF(3) with n=864, k=10 and d=549.
This code was found by Heurico 1.16 in 12.4 seconds.