The generator matrix

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

generates a code of length 20 over Z27 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+150x^35+348x^36+1212x^38+1128x^39+2322x^41+1152x^42+192x^44+36x^45+12x^47+6x^48+2x^54

The gray image is a code over GF(3) with n=180, k=8 and d=105.
This code was found by Heurico 1.16 in 1.2 seconds.