The generator matrix

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

generates a code of length 37 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+278x^69+204x^70+558x^71+1348x^72+570x^73+696x^74+1180x^75+432x^76+510x^77+628x^78+72x^79+6x^80+20x^81+12x^82+12x^83+20x^84+6x^85+6x^87+2x^99

The gray image is a code over GF(3) with n=333, k=8 and d=207.
This code was found by Heurico 1.16 in 0.0741 seconds.