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  3  1  1  1  1  1  1  1  1  1  1  3  1  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0 18 18  0  0  9  9  9  9 18 18 18  0  0 18  0  9  0  9
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9 18  0  9  0 18 18  9  0  9 18 18  9 18 18 18 18 18
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9 18 18  0  9 18  0  9  9  9 18  9  0  9 18  0  0  0  9  9  0
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9  0  0 18  9 18  9  9 18  0  0  9  9  9  9  9  9  0 18 18

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

Homogenous weight enumerator: w(x)=1x^0+106x^69+54x^70+62x^72+216x^73+1458x^74+216x^76+26x^78+10x^81+28x^87+8x^90+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 89.9 seconds.