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 3 1 1 1 1 1 1 3 1 3 18 1 3 1 1 1 3 1 1 0 3 0 0 24 21 15 3 24 21 18 0 21 9 24 3 24 6 21 9 6 24 21 9 9 6 12 18 3 15 3 12 24 3 6 15 15 15 9 21 9 24 0 0 3 24 0 15 21 3 6 6 21 0 3 15 24 0 18 21 15 9 24 9 12 3 3 3 15 15 3 9 12 0 9 21 6 12 6 15 24 24 12 0 0 0 0 9 0 0 18 0 0 9 18 9 18 18 18 18 9 0 9 18 18 0 9 9 9 18 0 9 18 18 9 9 0 9 9 0 0 9 18 9 0 9 0 0 0 0 9 18 0 9 18 0 18 9 0 0 18 0 9 0 9 9 0 18 9 0 18 9 9 9 18 9 9 0 0 18 0 18 0 18 9 9 9 0 generates a code of length 42 over Z27 who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+398x^75+18x^76+1096x^78+144x^79+648x^80+1634x^81+1890x^82+2592x^83+1876x^84+3492x^85+2592x^86+1658x^87+288x^88+872x^90+334x^93+122x^96+20x^99+2x^102+4x^105+2x^108 The gray image is a code over GF(3) with n=378, k=9 and d=225. This code was found by Heurico 1.16 in 5.16 seconds.