The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 1 2 2 2 2 1 0 1 1 2 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+49x^50+105x^52+153x^54+8x^55+168x^56+56x^57+158x^58+176x^59+163x^60+336x^61+155x^62+448x^63+164x^64+448x^65+163x^66+336x^67+172x^68+176x^69+164x^70+56x^71+138x^72+8x^73+115x^74+79x^76+55x^78+25x^80+10x^82+9x^84+1x^86+1x^106 The gray image is a code over GF(2) with n=128, k=12 and d=50. This code was found by Heurico 1.16 in 4.04 seconds.