The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 2 2 2 1 1 0 1 1 0 1 2 0 0 0 1 2 1 0 0 1 1 1 0 1 1 2 1 2 1 1 2 2 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 0 1 2 2 0 3 1 2 0 1 1 1 0 3 0 2 1 0 0 1 1 1 1 2 1 0 3 0 0 3 3 2 0 1 3 0 0 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 2 2 2 3 1 1 3 2 0 0 0 1 1 3 1 3 2 2 0 0 2 0 1 1 1 2 1 2 3 1 0 1 0 0 1 1 2 2 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 2 1 1 0 3 0 1 0 2 2 0 1 3 2 3 2 3 0 1 1 2 0 0 0 2 0 3 1 0 3 1 2 1 3 2 0 0 0 1 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 2 2 0 1 3 2 2 1 3 3 3 2 3 0 1 3 1 1 3 0 1 1 1 3 0 2 1 3 0 2 2 0 2 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 1 1 1 0 1 1 2 0 1 3 0 2 3 0 2 2 1 2 0 1 1 0 1 0 0 0 3 1 0 3 3 0 3 1 2 3 3 3 0 0 1 0 1 3 2 1 1 2 0 0 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 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 2 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 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+30x^39+35x^40+62x^41+127x^42+180x^43+199x^44+224x^45+346x^46+392x^47+482x^48+480x^49+524x^50+712x^51+625x^52+620x^53+673x^54+650x^55+585x^56+556x^57+637x^58+626x^59+753x^60+784x^61+833x^62+994x^63+1109x^64+1188x^65+1258x^66+1292x^67+1221x^68+1236x^69+1123x^70+1078x^71+944x^72+814x^73+701x^74+604x^75+601x^76+524x^77+623x^78+638x^79+651x^80+616x^81+601x^82+674x^83+545x^84+524x^85+517x^86+420x^87+320x^88+228x^89+173x^90+134x^91+103x^92+72x^93+44x^94+20x^95+17x^96+8x^97+11x^98+2x^99+1x^100+1x^102+2x^103 The gray image is a code over GF(2) with n=134, k=15 and d=39. This code was found by Heurico 1.16 in 99.1 seconds.