The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 0 1 2 2 1 1 1 2 1 0 1 1 0 1 1 0 1 2 0 1 1 2 1 0 1 2 0 0 0 2 1 0 1 0 1 1 1 0 0 0 1 2 1 1 1 1 1 1 1 1 2 0 1 2 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 0 1 1 1 0 0 3 2 3 1 3 1 1 0 0 2 1 1 1 3 2 2 0 1 3 2 2 1 0 1 1 1 0 1 0 0 2 1 0 1 3 2 2 0 1 1 2 1 3 3 1 1 0 1 1 1 2 0 3 1 3 3 1 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 1 3 1 1 1 0 1 1 0 0 2 3 3 0 3 1 3 1 0 0 3 1 0 0 2 1 1 2 1 2 2 2 0 0 2 1 3 3 1 3 1 1 0 2 3 0 0 3 3 0 0 0 1 2 2 1 3 2 3 1 0 2 3 1 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 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 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 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 2 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+2x^69+33x^70+44x^71+153x^72+134x^73+258x^74+278x^75+376x^76+400x^77+529x^78+572x^79+633x^80+740x^81+780x^82+848x^83+893x^84+1028x^85+934x^86+1052x^87+895x^88+946x^89+810x^90+768x^91+667x^92+570x^93+446x^94+404x^95+317x^96+224x^97+210x^98+120x^99+99x^100+46x^101+73x^102+8x^103+43x^104+4x^105+20x^106+2x^107+13x^108+2x^109+1x^110+5x^112+2x^114+1x^120 The gray image is a code over GF(2) with n=172, k=14 and d=69. This code was found by Heurico 1.16 in 55.1 seconds.