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 3 1 1 1 1 1 1 3 1 1 1 1 1 3 1 0 3 24 0 21 24 6 9 21 21 0 24 18 6 21 12 0 24 9 24 9 15 21 9 12 3 9 21 6 18 9 6 15 18 24 24 18 24 15 15 18 0 0 0 9 0 0 0 18 0 18 18 9 18 18 18 18 0 0 18 0 18 0 0 18 9 9 18 9 0 9 9 18 0 18 9 18 9 9 18 0 9 18 0 0 0 0 9 0 9 18 18 18 18 18 0 9 9 9 9 0 18 0 18 18 9 9 18 0 9 0 18 9 0 9 0 9 9 18 9 0 0 0 0 0 9 0 0 0 0 18 18 9 0 18 9 18 18 9 0 9 0 9 18 18 0 9 9 0 0 0 18 9 9 18 18 0 9 9 9 9 0 0 0 0 9 9 9 generates a code of length 42 over Z27 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+138x^76+102x^78+324x^79+166x^81+1254x^82+1674x^84+2154x^85+196x^87+276x^88+12x^90+132x^91+66x^94+22x^96+30x^97+8x^99+4x^105+2x^117 The gray image is a code over GF(3) with n=378, k=8 and d=228. This code was found by Heurico 1.16 in 0.178 seconds.