The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 1 0 2 1 1 2 0 1 0 0 1 2 1 0 1 1 1 2 0 2 1 2 1 1 1 1 0 2 2 1 1 1 2 1 1 1 2 1 1 0 2 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 1 1 3 1 1 1 1 1 1 0 1 0 2 2 3 1 1 1 1 1 2 1 0 1 3 1 2 2 0 0 1 1 1 2 2 0 1 3 0 3 1 2 3 1 0 1 2 2 3 2 0 0 1 0 0 0 0 0 0 0 1 0 3 3 3 1 1 2 2 0 1 1 2 1 3 3 1 0 1 0 0 1 1 2 3 3 2 2 1 1 3 2 1 0 0 3 3 0 3 3 2 0 2 3 3 2 3 2 0 2 3 2 2 1 0 0 0 1 0 0 0 1 1 1 3 3 1 0 0 1 3 2 1 0 3 2 0 2 2 0 1 2 1 1 3 0 2 0 3 1 0 2 2 0 2 1 3 2 3 2 2 3 2 3 3 2 1 0 1 0 2 0 1 1 0 2 3 1 0 0 0 0 1 0 1 1 0 3 2 2 1 3 2 2 3 3 1 3 3 3 0 3 0 2 3 0 0 1 2 2 1 1 0 1 1 1 0 1 0 2 3 2 2 1 2 3 3 0 3 0 1 0 0 0 0 2 0 2 3 0 2 3 0 0 0 0 0 1 1 2 3 1 0 2 1 2 0 2 2 0 3 3 1 1 1 3 3 3 0 1 3 2 2 3 3 2 2 3 2 1 2 0 3 0 2 1 0 3 2 0 3 1 1 0 1 3 2 0 1 3 0 3 0 1 0 3 0 0 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+92x^53+170x^54+232x^55+318x^56+344x^57+442x^58+416x^59+427x^60+442x^61+426x^62+540x^63+504x^64+562x^65+509x^66+458x^67+462x^68+376x^69+392x^70+288x^71+204x^72+180x^73+152x^74+100x^75+63x^76+50x^77+20x^78+12x^79+5x^80+2x^81+2x^83+1x^98 The gray image is a code over GF(2) with n=128, k=13 and d=53. This code was found by Heurico 1.16 in 10.4 seconds.