The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 2 1 1 1 1 0 1 2 1 1 1 0 1 1 0 2 1 1 0 1 1 1 1 2 1 1 1 1 2 1 0 1 0 1 1 1 2 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 3 1 2 0 3 1 3 0 1 1 0 3 1 3 0 0 2 1 2 3 3 0 1 2 1 2 1 1 1 1 1 0 0 1 1 2 1 1 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 generates a code of length 58 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+38x^50+42x^51+67x^52+70x^53+80x^54+82x^55+71x^56+62x^57+43x^58+62x^59+57x^60+82x^61+57x^62+70x^63+40x^64+42x^65+27x^66+11x^68+4x^70+7x^72+3x^74+1x^76+3x^78+1x^80+1x^82 The gray image is a code over GF(2) with n=116, k=10 and d=50. This code was found by Heurico 1.16 in 0.206 seconds.