The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 1 1 2 1 2 2 1 0 1 1 1 0 1 1 2 1 0 2 1 2 1 2 1 1 2 0 0 1 2 2 2 2 0 1 1 1 1 1 1 2 1 1 1 0 1 0 0 1 0 1 1 0 1 2 1 0 2 2 1 2 1 1 0 2 2 1 1 0 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 3 0 0 2 2 1 0 0 0 3 3 0 2 1 1 2 1 1 3 1 0 1 0 2 2 1 2 1 0 2 1 0 0 1 3 3 2 1 1 2 3 2 0 1 2 1 1 3 1 2 0 1 1 2 3 1 1 1 2 1 0 0 0 1 1 2 3 1 0 0 1 0 1 1 0 1 0 3 2 1 2 3 0 1 3 1 2 1 1 3 1 2 1 2 0 2 2 3 2 2 2 1 3 1 0 1 3 0 3 2 1 1 1 0 2 1 1 1 0 1 0 3 1 0 1 0 1 2 2 2 3 2 0 1 3 2 2 2 2 3 1 2 3 1 3 2 0 2 3 0 3 0 0 0 1 1 0 1 1 1 0 2 3 3 2 1 0 0 3 3 3 3 1 2 0 0 2 1 1 2 0 2 0 2 3 0 1 0 1 2 1 0 1 1 3 3 3 1 2 1 3 2 1 0 3 3 1 3 3 1 2 3 1 2 0 0 0 0 2 1 2 0 3 0 0 0 3 0 1 3 1 1 1 3 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 2 2 generates a code of length 83 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+71x^72+108x^73+128x^74+174x^75+198x^76+230x^77+201x^78+236x^79+250x^80+228x^81+248x^82+232x^83+195x^84+200x^85+210x^86+184x^87+165x^88+148x^89+138x^90+118x^91+87x^92+78x^93+79x^94+60x^95+46x^96+28x^97+14x^98+20x^99+7x^100+4x^101+6x^102+2x^104+1x^108+1x^112 The gray image is a code over GF(2) with n=166, k=12 and d=72. This code was found by Heurico 1.16 in 3.3 seconds.