The generator matrix 1 0 0 0 0 1 1 1 2 0 1 1 1 0 1 1 0 2 1 1 0 1 1 2 1 2 2 2 2 1 1 0 2 0 2 1 1 1 1 2 0 2 1 1 2 1 1 1 1 1 2 0 1 1 2 1 1 1 1 2 2 0 1 2 2 1 0 2 1 2 0 1 1 1 1 0 0 1 2 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 3 0 1 2 1 2 3 2 1 1 0 0 1 1 0 3 1 0 2 1 3 3 2 2 1 1 0 3 2 1 0 3 2 0 3 0 1 2 2 0 2 3 3 0 0 2 2 2 1 1 2 2 2 2 1 2 0 1 2 1 2 0 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 3 1 1 0 2 2 0 2 3 2 3 1 1 3 1 2 3 3 1 2 0 3 2 1 1 1 1 2 3 2 3 0 1 1 1 3 1 0 2 0 0 1 0 1 0 0 1 1 0 2 2 0 1 1 2 0 1 0 1 2 3 1 1 3 2 1 1 2 0 0 0 0 1 0 1 1 0 3 1 2 3 0 3 0 0 2 3 0 2 1 3 1 2 1 3 2 2 1 1 1 0 2 1 0 0 3 0 0 1 3 1 3 3 2 3 0 2 3 2 1 3 3 2 2 0 0 1 3 1 0 3 3 1 3 0 2 3 2 3 0 1 1 1 3 0 3 2 1 3 2 1 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 0 3 3 0 3 2 1 1 1 3 2 2 0 0 1 2 1 2 1 3 1 0 0 1 2 2 2 0 2 3 1 3 3 2 3 0 0 2 0 1 1 1 2 1 1 0 0 1 0 0 1 2 2 0 3 2 3 1 1 2 1 3 3 3 2 2 3 3 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 generates a code of length 83 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+33x^72+136x^73+146x^74+164x^75+221x^76+234x^77+234x^78+242x^79+249x^80+232x^81+246x^82+184x^83+175x^84+174x^85+152x^86+212x^87+184x^88+128x^89+147x^90+136x^91+119x^92+86x^93+66x^94+70x^95+36x^96+32x^97+28x^98+12x^99+5x^100+2x^101+4x^102+4x^103+1x^104+1x^106 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 3.11 seconds.