The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 2 1 0 1 1 1 0 0 1 1 2 0 1 2 1 2 0 1 0 0 1 0 1 1 0 2 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 2 2 1 0 0 0 1 1 1 0 2 0 0 2 1 0 0 2 2 1 1 1 0 1 1 1 2 2 0 0 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 0 2 0 3 2 3 1 2 2 0 0 1 2 1 1 1 1 2 1 1 1 0 1 3 1 1 1 1 2 2 0 3 0 0 0 1 0 2 1 1 2 0 2 1 2 1 3 1 1 1 1 3 3 0 2 1 2 2 2 2 1 0 1 3 1 3 0 2 1 0 0 2 0 1 0 0 1 0 1 1 0 1 0 3 2 1 2 3 0 1 1 2 3 1 0 1 1 0 2 1 0 2 2 1 1 1 0 1 3 0 1 2 0 1 2 0 0 1 3 2 3 3 0 3 2 1 0 3 1 0 2 0 3 1 1 0 2 2 2 0 2 0 1 1 3 2 1 0 1 1 1 0 0 3 2 2 3 0 0 1 2 2 3 0 0 0 1 1 0 1 1 1 0 2 3 3 2 1 3 3 1 0 0 0 2 0 2 1 1 1 2 2 3 3 1 1 0 1 3 1 2 2 2 3 1 1 1 2 0 1 2 3 1 2 3 1 0 2 3 1 1 1 1 0 0 0 0 0 2 0 3 1 2 2 1 0 2 3 3 0 3 2 2 1 1 1 1 3 0 1 1 3 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 0 2 0 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 2 2 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 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+70x^78+112x^79+124x^80+200x^81+219x^82+230x^83+246x^84+226x^85+237x^86+238x^87+180x^88+192x^89+267x^90+182x^91+126x^92+194x^93+176x^94+144x^95+108x^96+132x^97+119x^98+78x^99+82x^100+58x^101+49x^102+34x^103+26x^104+20x^105+9x^106+6x^107+2x^108+2x^109+4x^110+1x^112+2x^114 The gray image is a code over GF(2) with n=178, k=12 and d=78. This code was found by Heurico 1.16 in 3.71 seconds.