The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 0 0 1 2 0 1 0 1 1 1 1 1 1 0 2 1 1 1 0 1 1 2 2 0 1 1 1 0 0 0 2 1 1 1 1 0 1 2 0 2 1 0 0 1 2 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 3 0 2 0 1 1 1 2 3 1 2 0 0 0 0 1 1 1 3 1 1 0 3 0 1 1 2 3 2 3 1 0 1 1 2 3 1 2 2 1 1 1 2 2 1 1 2 1 3 1 0 2 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 0 1 1 0 1 1 1 3 3 1 0 3 2 2 1 0 2 0 2 1 1 2 0 0 2 1 2 3 1 3 1 1 1 3 3 3 1 1 0 0 2 1 3 1 0 1 1 0 2 1 1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 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 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 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 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+43x^52+30x^53+141x^54+114x^55+219x^56+260x^57+399x^58+428x^59+597x^60+650x^61+733x^62+940x^63+921x^64+1116x^65+1042x^66+1142x^67+1050x^68+1058x^69+952x^70+938x^71+773x^72+732x^73+559x^74+408x^75+349x^76+214x^77+196x^78+120x^79+112x^80+36x^81+60x^82+6x^83+25x^84+8x^86+6x^88+4x^90+1x^94+1x^102 The gray image is a code over GF(2) with n=134, k=14 and d=52. This code was found by Heurico 1.16 in 38.7 seconds.