The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 1 1 1 1 2 1 2 1 1 2 0 1 1 0 1 0 0 1 1 1 2 0 2 2 1 1 2 2 2 1 0 1 2 1 2 1 2 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 2 0 3 1 0 0 0 2 2 1 1 1 1 2 1 0 1 0 2 0 3 1 1 0 2 3 1 1 1 2 3 2 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 2 1 1 0 1 3 3 2 1 1 2 1 1 2 0 3 2 0 3 2 0 1 2 2 2 3 2 1 1 0 3 0 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 3 2 3 1 0 0 3 1 1 0 2 2 3 0 2 1 1 0 3 0 1 0 1 3 0 0 1 1 2 1 2 3 2 3 2 2 3 1 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 generates a code of length 63 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+72x^40+182x^42+339x^44+546x^46+762x^48+66x^49+1008x^50+180x^51+1164x^52+468x^53+1188x^54+754x^55+1050x^56+1222x^57+844x^58+1804x^59+600x^60+2422x^61+470x^62+2578x^63+470x^64+2328x^65+543x^66+1884x^67+799x^68+1248x^69+1035x^70+790x^71+1180x^72+382x^73+1205x^74+164x^75+1036x^76+54x^77+785x^78+38x^79+562x^80+2x^81+309x^82+125x^84+69x^86+30x^88+5x^90+1x^92+3x^94+1x^96 The gray image is a code over GF(2) with n=126, k=15 and d=40. This code was found by Heurico 1.16 in 99.2 seconds.