The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 1 1 1 0 2 2 1 1 1 1 2 2 2 1 2 1 1 1 1 0 2 2 1 1 2 1 0 1 1 0 1 0 2 1 1 1 1 0 2 1 2 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 2 1 1 1 1 2 0 1 0 1 0 1 1 0 0 1 1 1 1 3 0 2 2 1 3 1 2 1 0 1 2 3 2 1 1 3 1 0 0 0 1 1 2 2 3 0 1 0 1 1 2 1 3 1 1 1 2 2 3 1 0 1 2 0 3 0 0 0 1 1 1 1 1 2 1 3 1 0 1 3 2 3 2 3 0 2 1 0 2 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 2 3 0 1 2 1 3 1 0 1 3 0 1 3 2 1 1 2 0 3 3 1 2 2 2 1 1 1 2 1 1 0 1 0 2 0 3 3 3 2 3 0 0 1 3 1 1 3 2 1 2 3 1 0 2 3 3 3 1 3 1 0 3 2 0 2 3 2 3 0 1 2 2 3 1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+184x^72+238x^74+738x^76+746x^78+1283x^80+1370x^82+1896x^84+1624x^86+2064x^88+1608x^90+1698x^92+1098x^94+845x^96+386x^98+340x^100+84x^102+124x^104+14x^106+32x^108+11x^112 The gray image is a code over GF(2) with n=174, k=14 and d=72. This code was found by Heurico 1.16 in 90.4 seconds.