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  0  3  0  0  3  1  9
 0  3  0  0 24 21 15  3 24  9  3 18 24 21 21 15 24  9 21  0  3 24  6 21  9 18 18 12  6 24  3 24 18  9 21 21  3
 0  0  3 24  9  6 21  3  6 18  3 21  0 15 18  3  6 15  6 12  9  0  3 21 24 18  6 24 21 15  9  0  3  3 24 18 15
 0  0  0  9  0  0 18  9 18 18 18 18  9 18 18  0  9 18  9  9  9 18  9  0  0  9 18  9 18  9 18  0  9  0 18  0  0

generates a code of length 37 over Z27 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+300x^68+270x^69+162x^70+636x^71+642x^72+648x^73+1170x^74+974x^75+648x^76+522x^77+174x^78+156x^80+86x^81+126x^83+32x^84+6x^86+6x^87+2x^93

The gray image is a code over GF(3) with n=333, k=8 and d=204.
This code was found by Heurico 1.16 in 25.9 seconds.