The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 1 0 2 1 1 1 1 1 1 2 0 2 1 2 1 1 0 0 1 0 1 0 0 1 1 0 0 0 2 1 1 1 1 2 1 2 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 2 0 1 0 3 2 1 1 2 0 1 2 1 0 0 1 3 1 1 1 0 1 1 1 0 1 1 2 2 1 2 2 0 1 0 1 1 2 0 2 1 3 3 2 3 1 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 0 0 2 1 1 3 1 2 0 3 0 0 3 1 1 1 3 1 0 2 1 0 1 1 2 3 0 1 1 0 3 1 2 0 1 3 1 3 3 2 2 0 2 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 0 0 1 3 2 1 3 3 1 3 1 0 3 0 2 2 1 3 3 0 0 3 0 1 3 1 1 0 0 2 1 0 1 2 2 1 3 3 1 3 0 0 2 2 1 0 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+47x^50+68x^51+191x^52+182x^53+310x^54+390x^55+535x^56+592x^57+707x^58+734x^59+822x^60+944x^61+957x^62+1088x^63+997x^64+1188x^65+1013x^66+1082x^67+965x^68+806x^69+665x^70+566x^71+403x^72+312x^73+305x^74+146x^75+148x^76+68x^77+79x^78+20x^79+32x^80+4x^81+8x^82+2x^83+2x^84+5x^86 The gray image is a code over GF(2) with n=128, k=14 and d=50. This code was found by Heurico 1.16 in 68.6 seconds.