The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 0 0 2 0 1 1 0 1 1 1 0 1 0 1 2 1 1 2 1 0 1 0 2 1 1 2 1 1 1 2 2 1 2 0 2 2 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 3 1 0 2 1 2 1 1 0 1 3 1 1 0 0 1 1 3 1 2 2 3 0 0 2 3 1 0 0 0 1 0 3 0 1 2 1 3 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 2 2 1 1 0 1 1 3 0 1 3 3 1 1 2 0 3 1 0 1 0 1 1 2 0 1 0 2 0 2 1 2 1 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 2 2 1 0 2 1 3 1 0 3 0 0 2 1 3 2 1 1 0 2 0 1 3 3 2 2 3 1 3 0 3 2 1 3 0 1 3 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 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 0 2 0 2 0 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+44x^40+44x^41+100x^42+86x^43+209x^44+240x^45+377x^46+530x^47+617x^48+660x^49+906x^50+1196x^51+1236x^52+1450x^53+1633x^54+1864x^55+1991x^56+2060x^57+2120x^58+2106x^59+1941x^60+1958x^61+1724x^62+1484x^63+1301x^64+1196x^65+891x^66+690x^67+621x^68+470x^69+325x^70+184x^71+187x^72+104x^73+90x^74+48x^75+39x^76+10x^77+21x^78+2x^79+3x^80+5x^82+2x^83+1x^84+1x^92 The gray image is a code over GF(2) with n=116, k=15 and d=40. This code was found by Heurico 1.16 in 99.1 seconds.