The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  1  1  1  1  1  1  1  1  3  1  3  1  1  3  1  1  1  1  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  0  0  0  9 18  9 18 18 18 18  0  9 18 18  9  0  9  9 18  0  9  0  9 18 18  9  0  0 18  0  9 18  9  0  9  9  9  9 18 18 18 18  0  9  9  0  9  0  0 18  0  0
 0  0  9  0  0  0  0  0  0  0  0  9  9  0  0  9  9 18  0 18 18 18  9 18  9  9  9 18  0  9  9  9 18  9 18 18  9 18  9  9 18  9 18  9 18  0  0  9  0 18  9  0  0  9  0 18  9  9  0  9  9  0
 0  0  0  9  0  0  0  0  9 18 18 18  9  0  0  0  9  9 18  0 18  9  9  9  0  9 18 18 18  9  0  0  0 18  9  0  0  0  9 18  0 18  9  9 18  9 18  9  0  9  9  9 18  9  9 18  0 18  9  9 18  0
 0  0  0  0  9  0  0  9 18  0 18  0  9 18  0  9 18  9  9  0  0  0  9 18  9  0  9 18  9 18  0 18  9  9  0  9  0 18  0 18  0 18  9 18  9 18  0  0  9  9  9  0 18 18  9  9  9  9  9 18  0  0
 0  0  0  0  0  9  0 18 18  9  0 18  9  0 18 18  0  9 18 18  0 18  9  9  0 18  0  9 18  9 18  0 18  9  0  9  9 18  0  9  9 18 18 18  0  0 18  0 18  9 18  0 18  0  0  0  0  0 18  0 18  0
 0  0  0  0  0  0  9 18 18 18 18 18 18 18  9  9  0  0  9  0  9  9  9  9  9  9 18  0  0  9  0  0 18 18 18 18 18 18  0  9  9 18  0  0 18  0  0  0  0 18  9 18  0 18  9  9  0 18  0  9  0  0

generates a code of length 62 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+24x^105+128x^108+226x^111+226x^114+460x^117+732x^120+1834x^123+13122x^124+1520x^126+778x^129+154x^132+140x^135+114x^138+114x^141+40x^144+40x^147+24x^150+2x^153+2x^162+2x^171

The gray image is a code over GF(3) with n=558, k=9 and d=315.
This code was found by Heurico 1.16 in 3.13 seconds.