The generator matrix 1 0 1 1 1 1 1 0 1 1 1 15 1 1 0 1 1 1 18 1 6 1 1 1 1 1 1 1 1 1 1 3 1 1 24 1 1 1 1 0 1 1 0 1 1 26 18 25 17 1 0 22 26 1 16 21 1 23 0 11 1 22 1 25 21 26 23 7 23 3 16 24 12 1 26 18 1 16 18 1 10 1 22 18 0 0 24 0 18 0 21 24 18 21 15 12 0 6 18 0 15 9 3 21 24 15 3 3 15 15 18 12 3 18 18 3 3 24 6 12 12 15 0 18 21 12 0 0 0 3 21 12 18 9 24 6 15 0 24 24 15 6 18 0 12 12 3 3 21 3 12 6 18 18 9 12 6 6 6 21 21 12 6 3 9 24 24 24 generates a code of length 42 over Z27 who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+258x^75+276x^76+654x^77+1766x^78+1638x^79+2640x^80+4320x^81+4836x^82+8022x^83+7758x^84+8100x^85+7698x^86+5852x^87+2250x^88+1206x^89+850x^90+330x^91+132x^92+246x^93+66x^94+54x^95+86x^96+6x^98+4x^99 The gray image is a code over GF(3) with n=378, k=10 and d=225. This code was found by Heurico 1.16 in 5.68 seconds.