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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+54x^75+162x^76+12x^78+6x^81+6x^84+2x^90

The gray image is a code over GF(3) with n=342, k=5 and d=225.
This code was found by Heurico 1.16 in 0.0141 seconds.