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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 0 2 2 1 2 2 2 0 1 1 2 1 1 1 2 1 1 2 1 1 0 2 0 0 0 0 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 0 2 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 generates a code of length 71 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+87x^56+240x^60+18x^62+409x^64+186x^66+621x^68+420x^70+750x^72+324x^74+482x^76+74x^78+260x^80+2x^82+153x^84+59x^88+6x^92+2x^96+1x^100+1x^116 The gray image is a code over GF(2) with n=142, k=12 and d=56. This code was found by Heurico 1.16 in 4.67 seconds.