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

generates a code of length 40 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+74x^75+168x^76+108x^77+122x^78+468x^79+486x^80+118x^81+468x^82+44x^84+12x^85+54x^86+34x^87+18x^88+8x^90+2x^93+2x^108

The gray image is a code over GF(3) with n=360, k=7 and d=225.
This code was found by Heurico 1.16 in 0.0365 seconds.