The generator matrix

 1  0  1  1  1  1 18  1  1 21  1  1  1  1  1 15  1  1  1 21  1  0  3  1  1  1  1  1  1  1  1  3  3  1  1
 0  1  1 26  7 18  1 17 25  1 21 23  3 14 16  1 26  0  4  1 24  1  1 26 26  8 24 12 20  9  1  3  1  9  0
 0  0 24  0  0 21 21 21  3 15 18 18 12 21 15 21 24  6  0 18 24  6 21  9  6  3  6 18 15  3 12 12 21  3  9
 0  0  0  9  0  9 18  0  9 18  9 18  0 18  9  9  9 18  9 18  9  0  9 18  0 18 18 18 18 18  9  9  0  0  0
 0  0  0  0  9  0 18  0 18 18  9 18 18  9  0 18 18 18 18 18  0  9  9  0  9  0  9  9  0 18  0  0  9  0 18

generates a code of length 35 over Z27 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+44x^60+102x^61+402x^62+364x^63+1278x^64+1974x^65+2092x^66+4314x^67+6318x^68+6750x^69+8256x^70+9492x^71+6752x^72+5820x^73+3252x^74+554x^75+582x^76+378x^77+168x^78+48x^79+42x^80+20x^81+12x^82+12x^83+18x^84+2x^87+2x^96

The gray image is a code over GF(3) with n=315, k=10 and d=180.
This code was found by Heurico 1.16 in 4.49 seconds.