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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+44x^75+18x^76+70x^78+108x^79+52x^81+1674x^82+16x^84+144x^85+10x^87+16x^90+12x^93+8x^96+12x^99+2x^114

The gray image is a code over GF(3) with n=369, k=7 and d=225.
This code was found by Heurico 1.16 in 0.0429 seconds.