The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 0 2 0 0 0 0 0 2 2 2 0 1 1 2 1 1 1 1 2 1 1 0 0 2 0 1 1 1 2 0 1 0 2 0 2 2 1 1 2 0 2 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 2 2 1 1 0 0 1 1 1 1 3 0 1 3 2 1 1 1 2 2 2 1 0 1 0 2 1 2 2 3 1 2 1 1 1 0 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 2 0 1 3 2 2 3 1 3 2 1 1 0 1 0 0 2 3 1 0 0 1 3 1 1 2 2 1 1 0 1 1 3 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 2 0 3 1 0 2 2 3 2 1 3 0 3 2 2 1 1 1 0 2 1 2 0 0 0 1 0 1 3 1 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 1 3 1 0 1 1 1 1 0 3 1 3 2 3 3 3 0 0 0 2 2 2 3 3 2 0 3 0 0 3 2 0 0 2 0 1 2 2 3 1 3 1 0 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 0 2 0 2 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 2 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 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 generates a code of length 62 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+24x^40+58x^41+86x^42+106x^43+176x^44+206x^45+232x^46+354x^47+430x^48+516x^49+638x^50+722x^51+795x^52+862x^53+932x^54+1054x^55+1189x^56+1262x^57+1361x^58+1482x^59+1543x^60+1548x^61+1586x^62+1546x^63+1467x^64+1528x^65+1465x^66+1248x^67+1145x^68+1050x^69+957x^70+930x^71+813x^72+726x^73+602x^74+512x^75+418x^76+306x^77+236x^78+188x^79+148x^80+116x^81+87x^82+42x^83+34x^84+12x^85+9x^86+8x^87+8x^88+2x^89+1x^90+1x^92 The gray image is a code over GF(2) with n=124, k=15 and d=40. This code was found by Heurico 1.16 in 97.7 seconds.