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

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

Homogenous weight enumerator: w(x)=1x^0+48x^69+96x^70+78x^71+292x^72+216x^73+696x^74+492x^75+114x^76+28x^78+48x^79+30x^80+22x^81+6x^83+12x^85+6x^87+2x^105

The gray image is a code over GF(3) with n=333, k=7 and d=207.
This code was found by Heurico 1.16 in 0.0246 seconds.