The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  3  1  0  1  1  1  1  1  1  3  1
 0  3  0  0 21 24  3 15 24  0 18  9 21 15 12 21 15  6 18 15  9 12  3 15 15  3  3 18 24 24 24  6 18  3  0
 0  0  3 24  6  0  3 21 24  9 21  6 15  0  9 21 21 15  9  0  3 24  9 18  3 24 24 12  0 24 15  6 12 12  0
 0  0  0  9  0  0  9 18 18  0  0  9 18 18 18  0  9  9  9  0  0 18 18 18  0  9  0 18 18  9  0  0  9 18  0
 0  0  0  0  9  9 18 18  0 18 18 18  0  9 18  9 18  9  9 18  0  9  9  0  0  9 18  0  9  0 18  9  9 18  0

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

Homogenous weight enumerator: w(x)=1x^0+80x^60+150x^61+90x^62+434x^63+240x^64+210x^65+1468x^66+186x^67+1344x^68+4100x^69+3144x^70+2304x^71+3958x^72+300x^73+306x^74+518x^75+246x^76+96x^77+296x^78+108x^79+18x^80+60x^81+6x^83+8x^84+6x^87+2x^90+4x^93

The gray image is a code over GF(3) with n=315, k=9 and d=180.
This code was found by Heurico 1.16 in 0.994 seconds.