The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 2 1 1 0 0 2 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 0 1 2 1 1 1 1 1 1 2 1 0 1 2 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 1 3 1 1 0 1 0 3 0 1 1 0 0 1 1 1 3 1 1 0 1 3 3 0 0 1 0 3 3 2 3 2 0 3 1 1 2 1 1 3 1 0 2 1 3 1 0 1 3 1 2 1 3 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 0 0 2 0 0 0 0 0 2 0 2 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+93x^60+68x^62+400x^64+276x^66+496x^68+424x^70+660x^72+424x^74+459x^76+276x^78+304x^80+68x^82+87x^84+40x^88+16x^92+3x^96+1x^100 The gray image is a code over GF(2) with n=144, k=12 and d=60. This code was found by Heurico 1.16 in 3.66 seconds.