The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 2 1 0 2 1 1 2 0 0 1 2 0 1 1 2 2 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 3 1 0 2 2 0 1 3 0 3 0 3 1 1 2 0 1 1 2 0 2 0 3 3 2 1 1 1 2 3 1 0 0 1 2 0 2 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 2 1 3 2 0 1 1 2 3 3 2 3 2 1 2 3 1 2 3 2 2 2 0 0 3 0 3 1 3 0 0 3 1 0 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 3 1 1 0 2 3 1 1 0 2 3 2 3 1 0 3 3 2 3 3 2 1 2 0 0 0 3 2 0 3 2 2 0 3 0 3 0 3 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 2 1 1 2 2 3 2 0 2 0 1 3 3 3 2 0 2 3 1 1 3 3 0 0 1 3 3 2 2 1 0 2 3 0 1 0 3 1 3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 3 3 3 2 0 3 0 1 0 3 3 0 3 3 1 1 2 2 1 0 2 3 0 0 1 1 2 1 2 1 1 0 0 1 0 1 1 1 1 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 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 0 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 61 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+14x^39+54x^40+70x^41+120x^42+168x^43+198x^44+222x^45+362x^46+418x^47+488x^48+634x^49+738x^50+832x^51+860x^52+1000x^53+1115x^54+1162x^55+1274x^56+1412x^57+1452x^58+1506x^59+1528x^60+1526x^61+1603x^62+1412x^63+1315x^64+1438x^65+1378x^66+1264x^67+1058x^68+982x^69+887x^70+834x^71+716x^72+608x^73+548x^74+398x^75+314x^76+248x^77+199x^78+158x^79+100x^80+44x^81+36x^82+24x^83+26x^84+6x^85+10x^86+2x^87+4x^88+2x^89 The gray image is a code over GF(2) with n=122, k=15 and d=39. This code was found by Heurico 1.16 in 98.6 seconds.