The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1 21  1  0  1  1 24  1  1  1  1  1  1  1  1 24  6  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20  0 16 21  4 24  1 26  1 19 23  1  9 24  6 12 16  4 23  5  1  1 16 21  0 13 12 18
 0  0  9  0 18  9 18  0  9 18  0  9  9 18  0  9 18  0 18  9  9  0 18 18  9  0 18  0  9  0  9  9  0  9 18 18  0  0  9  0
 0  0  0  9  9 18 18  9  9  0  0 18  9 18 18  0  9 18  0 18  9  9  0 18  9  0  9 18 18 18 18  9  9  9  9 18  9  9 18 18

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

Homogenous weight enumerator: w(x)=1x^0+390x^75+714x^76+680x^78+1410x^79+1068x^81+1548x^82+508x^84+186x^85+16x^87+30x^88+2x^90+2x^93+4x^96+2x^114

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 19.3 seconds.