The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 2 2 0 0 0 0 2 0 1 0 1 1 0 1 0 0 1 2 1 1 1 1 2 1 2 0 2 2 1 2 1 1 2 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 3 3 0 3 1 1 1 2 2 0 2 0 3 1 1 0 1 1 0 2 0 0 3 0 0 1 1 2 1 2 1 2 0 0 2 0 1 0 1 2 3 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 3 2 3 1 2 2 2 0 3 2 1 2 0 2 1 0 1 1 3 2 2 3 2 1 3 1 0 0 2 1 3 0 1 0 3 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 3 1 2 0 3 1 2 0 2 2 1 3 3 1 2 0 1 0 1 0 2 3 3 2 1 0 0 2 2 2 3 2 0 3 2 2 1 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 2 1 1 2 1 0 0 0 0 3 1 2 1 2 3 2 2 2 3 3 0 2 0 2 3 3 2 0 1 0 3 0 2 2 1 0 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 3 1 2 0 1 2 1 2 0 0 3 0 3 3 1 3 3 2 3 3 3 1 2 1 3 3 2 1 3 3 2 2 2 3 1 0 2 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 65 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+20x^39+59x^40+116x^41+123x^42+138x^43+233x^44+226x^45+282x^46+398x^47+497x^48+520x^49+583x^50+666x^51+638x^52+696x^53+727x^54+704x^55+762x^56+772x^57+903x^58+882x^59+941x^60+1140x^61+1082x^62+1244x^63+1276x^64+1334x^65+1380x^66+1266x^67+1193x^68+1084x^69+991x^70+948x^71+857x^72+736x^73+743x^74+744x^75+700x^76+694x^77+641x^78+596x^79+570x^80+528x^81+462x^82+420x^83+337x^84+284x^85+214x^86+132x^87+112x^88+56x^89+53x^90+28x^91+14x^92+4x^93+7x^94+6x^95+2x^96+2x^97+1x^98 The gray image is a code over GF(2) with n=130, k=15 and d=39. This code was found by Heurico 1.16 in 97.7 seconds.