The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 1 1 1 0 1 1 0 2 0 2 0 1 0 1 1 0 1 0 1 0 1 2 0 1 2 1 0 2 1 2 1 0 2 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 1 3 2 0 2 2 1 1 0 1 2 2 1 3 0 1 3 2 2 2 3 2 1 3 1 3 1 1 3 2 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 2 1 2 3 2 3 0 1 0 1 0 0 3 3 0 0 1 1 2 3 1 1 1 1 1 1 1 0 2 2 1 2 2 0 3 1 1 2 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 2 1 2 1 1 2 2 2 2 1 0 1 3 1 3 2 1 3 2 1 3 2 1 2 2 3 1 0 1 1 1 1 2 0 2 2 1 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+36x^45+108x^46+196x^47+304x^48+342x^49+472x^50+596x^51+686x^52+754x^53+856x^54+958x^55+1046x^56+1180x^57+1207x^58+1146x^59+1087x^60+1060x^61+926x^62+856x^63+704x^64+566x^65+412x^66+304x^67+220x^68+130x^69+92x^70+38x^71+40x^72+24x^73+20x^74+2x^75+7x^76+4x^77+2x^78+1x^80+1x^90 The gray image is a code over GF(2) with n=116, k=14 and d=45. This code was found by Heurico 1.16 in 71.9 seconds.