The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 1 1 2 1 2 2 1 0 1 1 1 0 1 1 2 0 2 1 0 0 0 2 1 0 1 2 2 1 1 1 0 0 0 1 1 1 0 0 1 2 0 2 1 1 1 2 2 1 0 1 2 1 0 0 1 1 2 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 3 0 0 2 2 1 0 0 0 3 3 0 2 1 1 1 1 3 1 1 2 0 2 0 3 1 2 3 1 1 1 1 1 3 2 1 1 0 3 0 1 0 3 2 2 1 0 2 1 3 1 0 1 1 3 0 1 0 0 1 0 1 1 0 1 0 3 2 1 2 3 0 1 3 1 2 1 1 3 1 2 1 2 0 2 2 3 2 2 1 2 3 1 1 3 2 3 0 0 1 2 1 0 0 1 2 3 3 3 0 3 0 0 1 3 1 2 2 0 0 1 3 2 2 2 3 3 2 2 0 0 0 1 1 0 1 1 1 0 2 3 3 2 1 0 0 3 3 3 3 1 2 0 0 2 1 1 2 0 0 2 1 2 0 3 2 3 1 3 1 1 0 1 0 3 3 1 1 1 3 1 1 0 1 2 0 3 0 1 3 1 2 1 2 3 2 2 0 2 3 1 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 generates a code of length 72 over Z4 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+160x^62+354x^64+438x^66+452x^68+505x^70+465x^72+442x^74+407x^76+307x^78+274x^80+158x^82+71x^84+35x^86+17x^88+2x^90+5x^92+1x^94+1x^96+1x^100 The gray image is a code over GF(2) with n=144, k=12 and d=62. This code was found by Heurico 1.16 in 2.83 seconds.