The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  0  1  1  1 24  1  1 24 21  1  1  1 24  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1  9  1 12 21  6  1 12  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4 26  0  1 16  0  1  1 21 19 16  1 24 20 23 21  1  0  4 19 23 16 24  5  9 21 20 11 26 12  1 12 24  1 16  1  1  1  4  1  0  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0  0  0  9 18  9  0  9  9  0 18  9  0 18  9 18 18  0 18  0  9  9 18  0  9  0  0 18  9  9  0 18  9 18  9  0  0 18  0  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0  0 18 18 18  9 18  9 18  9  0  9  9 18  0  9  9 18  0  9  0 18  0 18  9  0  0  9  0  9  9  9 18  0 18 18 18  9  9  9 18  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9  9  0 18 18 18  0 18  9  9  0  0  0  0 18 18  0  9  0 18  9 18  9  9 18  0  9  0  9 18  9  9  0 18  0 18 18 18  9  9  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  9  9  9 18  0 18  0  9 18 18  9  9  0 18 18  0 18 18  0  0  9  0 18 18 18  0  0  0  0  9  0  0  9 18  9  9  9  0  9 18  0

generates a code of length 67 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+28x^120+96x^121+84x^122+106x^123+360x^124+450x^125+622x^126+1764x^127+990x^128+2164x^129+4488x^130+2454x^131+4758x^132+8898x^133+3318x^134+6232x^135+8754x^136+2958x^137+3664x^138+4134x^139+1164x^140+510x^141+516x^142+174x^143+26x^144+120x^145+48x^146+32x^147+30x^148+24x^149+22x^150+12x^153+14x^156+16x^159+8x^162+2x^165+4x^168+2x^171+2x^177

The gray image is a code over GF(3) with n=603, k=10 and d=360.
This code was found by Heurico 1.16 in 10.8 seconds.