The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 1 1 0 1 2 1 1 0 0 1 1 1 0 1 2 1 2 1 1 2 2 1 0 1 1 2 2 0 2 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 2 2 1 0 1 3 3 1 0 1 3 2 0 2 2 3 1 3 0 1 0 1 1 1 0 1 1 1 0 3 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 3 2 3 0 1 2 1 1 1 0 2 1 0 1 2 0 1 1 1 1 0 3 1 1 1 2 1 0 0 0 3 1 1 3 2 3 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 2 1 1 2 2 1 3 2 3 1 0 1 1 0 0 3 2 1 1 1 0 0 0 0 0 2 3 2 3 1 3 1 3 1 3 1 2 3 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 generates a code of length 59 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+58x^40+28x^41+111x^42+82x^43+195x^44+204x^45+302x^46+422x^47+491x^48+694x^49+783x^50+1032x^51+1086x^52+1356x^53+1420x^54+1634x^55+1758x^56+1856x^57+1980x^58+1756x^59+1940x^60+1738x^61+1813x^62+1778x^63+1448x^64+1418x^65+1095x^66+1048x^67+805x^68+640x^69+438x^70+350x^71+298x^72+224x^73+195x^74+82x^75+79x^76+30x^77+43x^78+8x^79+26x^80+4x^81+12x^82+7x^84 The gray image is a code over GF(2) with n=118, k=15 and d=40. This code was found by Heurico 1.16 in 99.1 seconds.