The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 2 0 1 0 1 1 2 0 1 1 2 1 0 1 1 0 2 2 1 2 0 1 1 1 1 0 1 1 1 1 2 2 2 2 0 1 1 1 1 1 2 1 0 1 0 2 1 1 2 1 0 0 1 1 1 1 1 0 1 2 1 2 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 3 2 3 3 1 1 3 2 1 3 2 0 1 2 2 1 2 2 1 0 0 2 0 1 1 1 2 0 0 0 1 1 0 2 3 0 1 2 0 2 2 1 1 1 3 3 1 1 1 1 2 0 2 1 3 1 1 1 1 2 1 3 2 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 3 1 1 1 3 2 3 1 1 0 0 0 1 2 2 1 2 3 3 1 2 3 3 0 3 3 1 1 0 3 2 1 2 2 1 3 3 3 0 0 2 1 1 3 1 1 1 2 1 3 3 1 1 2 3 3 1 1 3 1 2 1 0 3 0 0 0 0 1 0 1 1 0 1 0 1 3 3 2 0 2 1 1 0 2 3 3 3 2 3 2 2 1 2 3 2 3 1 0 0 2 2 1 2 2 1 3 2 2 1 1 1 0 3 2 2 2 1 0 1 0 1 0 1 0 1 2 3 3 1 0 1 3 3 1 1 2 0 0 3 2 0 2 1 0 1 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 3 0 3 0 0 1 2 1 2 2 1 1 1 3 0 2 2 1 2 3 3 0 1 0 1 1 3 3 1 0 1 3 1 2 1 2 0 2 3 1 0 3 0 2 1 0 3 1 0 0 0 1 1 1 1 2 0 2 3 2 0 0 1 3 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+56x^67+136x^68+226x^69+321x^70+444x^71+499x^72+532x^73+610x^74+666x^75+740x^76+820x^77+862x^78+814x^79+964x^80+944x^81+922x^82+982x^83+836x^84+868x^85+796x^86+726x^87+611x^88+464x^89+443x^90+314x^91+249x^92+208x^93+114x^94+78x^95+49x^96+28x^97+21x^98+14x^99+6x^100+6x^101+3x^102+2x^103+4x^104+3x^106+1x^108+1x^114 The gray image is a code over GF(2) with n=162, k=14 and d=67. This code was found by Heurico 1.16 in 94.9 seconds.