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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+204x^181+468x^182+768x^183+1356x^184+2034x^185+2082x^186+3060x^187+3918x^188+3526x^189+3552x^190+5676x^191+4650x^192+4818x^193+6162x^194+4280x^195+3594x^196+3582x^197+1908x^198+1392x^199+720x^200+332x^201+270x^202+108x^203+66x^204+42x^205+54x^206+88x^207+72x^208+60x^209+20x^210+72x^211+42x^212+8x^213+36x^214+6x^215+6x^216+6x^218+2x^219+6x^221+2x^222

The gray image is a code over GF(3) with n=864, k=10 and d=543.
This code was found by Heurico 1.16 in 19.7 seconds.