The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3 24  1  1  1 15 18  1  1 12 12  1  1  1  1  1 24  1  1 15  1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1 15 18  3  1  1  1  1 24  1  1  1  1  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1  1 16 11 24 21  1  8 14  1 12 22  6 11  6 10  1  3 15  1 25 15  1 18 20  8  7  5  4  1 21 26  7 11 25  3  1  1 18 26 21  0 19  6  4 22 14 17 25 15
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 13 14 10 26  1 12 11  3 14  1 19 13 12 25 15 14  0  5 19  3  1  1 10  7  9 26 20 22  7 20 17 11 15 13 25 21 17  1 23 19  2 11  1  2 17  1 24  6  4

generates a code of length 67 over Z27 who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+762x^128+1372x^129+1386x^130+2382x^131+2682x^132+972x^133+1788x^134+2052x^135+882x^136+1368x^137+1506x^138+576x^139+966x^140+474x^141+234x^142+162x^143+86x^144+12x^146+8x^147+12x^152

The gray image is a code over GF(3) with n=603, k=9 and d=384.
This code was found by Heurico 1.16 in 0.962 seconds.