The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1 21  1  1 24  1  1  1 21  1  1  0 15 18  1 24  1  1 12  1  9  1  1
 0  1  1 26 18 17  0 16  1 26  1  4  3 24  4 22 21 23  1 19 21  1 24  6 19  1 25 16  1  1  1 24  1  2  3  1 12  1 20 21
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12 18  0 15  9 15  9 18  3 12  9 21 18  6 21 24  0 12  3 24  3 21  9 15  3

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

Homogenous weight enumerator: w(x)=1x^0+174x^75+336x^76+1116x^77+588x^78+534x^79+1188x^80+650x^81+396x^82+1080x^83+236x^84+168x^85+18x^86+24x^87+6x^88+6x^90+18x^91+20x^93+2x^102

The gray image is a code over GF(3) with n=360, k=8 and d=225.
This code was found by Heurico 1.16 in 0.0845 seconds.