The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 0 1 1 1 2 1 1 0 1 0 1 1 1 1 2 0 0 2 1 0 2 1 1 1 0 0 1 1 0 0 0 1 2 1 1 1 1 2 1 1 0 1 2 0 1 1 1 2 0 1 2 0 0 0 2 1 2 2 0 2 0 0 1 2 1 1 2 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 3 2 1 3 1 2 1 3 3 1 0 2 1 1 1 1 3 2 2 1 0 3 1 0 0 0 0 1 1 0 1 0 0 2 3 2 2 1 2 0 2 2 1 1 2 1 2 1 1 0 1 0 0 2 2 1 1 2 2 3 3 1 2 0 0 1 0 0 0 0 0 0 0 1 3 1 0 2 1 3 1 2 3 3 0 2 1 3 2 3 0 1 1 3 2 0 3 3 2 0 1 1 3 1 1 1 2 1 0 2 1 0 2 0 1 1 0 3 2 1 1 3 2 0 2 3 1 1 3 3 1 2 0 1 0 2 0 2 1 2 2 3 2 0 0 0 0 1 0 0 0 1 1 1 3 1 0 2 3 0 2 2 2 2 0 0 1 2 3 3 3 1 1 1 1 3 1 3 1 0 3 0 2 0 0 0 1 1 2 0 3 2 3 0 0 1 3 1 1 3 3 0 3 2 0 1 1 1 3 1 0 1 3 0 3 1 1 3 1 2 1 3 2 2 1 0 0 0 0 1 0 1 1 0 3 2 1 1 3 0 1 0 3 3 3 2 0 1 0 1 3 2 0 2 1 2 2 2 3 0 3 0 2 1 0 3 2 0 0 3 0 1 3 0 3 1 3 1 1 1 2 3 0 3 2 2 1 2 2 1 2 2 3 1 2 0 3 0 1 1 2 1 2 3 3 3 0 0 0 0 0 1 1 2 3 1 0 1 1 1 2 3 0 2 0 2 1 3 0 1 2 1 3 3 1 2 0 0 1 1 1 1 3 3 3 2 3 0 3 2 0 1 2 3 1 0 3 0 3 0 0 2 1 2 0 1 2 2 2 1 0 0 0 1 3 1 0 1 1 1 0 3 2 2 1 3 1 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+56x^69+195x^70+230x^71+304x^72+336x^73+337x^74+386x^75+375x^76+406x^77+435x^78+440x^79+387x^80+504x^81+485x^82+420x^83+405x^84+376x^85+415x^86+328x^87+284x^88+266x^89+233x^90+188x^91+129x^92+80x^93+67x^94+50x^95+24x^96+22x^97+9x^98+6x^99+10x^100+2x^101+1x^116 The gray image is a code over GF(2) with n=162, k=13 and d=69. This code was found by Heurico 1.16 in 13.7 seconds.