The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1  1  1 24  1  1  1 21  1 24  1  1 24 24  9  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 23 19 21  1 23 26 16  1 19  1  4  4  1  1  0 26
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18  0 18  0  0  0 18  9  0 18  9  0  9 18  9  9  9
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  9  0  0  0 18  0 18 18  9  0 18  9  0  9  0  9
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9 18  0 18 18 18  9  9  9  0  0 18  9 18  0 18  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9  9 18  9 18 18  0  9 18 18  9 18 18  9  9  9

generates a code of length 35 over Z27 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+42x^59+274x^60+120x^61+288x^62+714x^63+1128x^64+1902x^65+2500x^66+5088x^67+5544x^68+5668x^69+9816x^70+7302x^71+5498x^72+6648x^73+3714x^74+1722x^75+528x^76+138x^77+250x^78+24x^80+70x^81+42x^84+18x^87+8x^90+2x^93

The gray image is a code over GF(3) with n=315, k=10 and d=177.
This code was found by Heurico 1.16 in 34.9 seconds.