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

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

Homogenous weight enumerator: w(x)=1x^0+70x^69+114x^70+108x^71+464x^72+252x^73+736x^75+252x^76+56x^78+12x^79+54x^80+46x^81+18x^82+2x^84+2x^99

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 0.0303 seconds.