The generator matrix

 1  0  1  1  1  1  1 18  1  1  1  3  1 24  1  1  0  3  1  1  1 24  1  1  1 21  1  1  1 12  1 21  1  0  1
 0  1  1 26 21 20 16  1 24 23  4  1 26  1 20 23  1  1  0  4 17  1 16  1 14  1 26  5 25  1  4  1  5  1  0
 0  0 24  0 18 18 15  3  0 18 24  3 15 18 24 15 24 12  6  0 12 15  0 21  3 24  9 24 12  6  9 21 21 18  0
 0  0  0  9  9  0 18  9 18 18  9 18  9  9 18  0  9  0  9  9  0 18  0  9  0  0  0 18  0 18  9  0 18 18  9

generates a code of length 35 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+282x^63+162x^64+540x^65+1568x^66+666x^67+2160x^68+3362x^69+1134x^70+3780x^71+3502x^72+918x^73+810x^74+538x^75+36x^76+166x^78+56x^81+2x^90

The gray image is a code over GF(3) with n=315, k=9 and d=189.
This code was found by Heurico 1.16 in 0.554 seconds.