The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 0 1 0 2 0 2 1 0 0 2 1 0 0 0 1 2 0 2 1 2 1 1 0 2 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 2 0 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 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 generates a code of length 90 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+87x^72+64x^74+4x^75+246x^76+18x^77+165x^78+68x^79+277x^80+156x^81+238x^82+242x^83+288x^84+366x^85+277x^86+540x^87+308x^88+656x^89+271x^90+642x^91+270x^92+526x^93+309x^94+396x^95+227x^96+268x^97+278x^98+134x^99+212x^100+50x^101+239x^102+20x^103+81x^104+8x^105+121x^106+2x^107+40x^108+62x^110+11x^112+19x^114+4x^118+1x^130 The gray image is a code over GF(2) with n=180, k=13 and d=72. This code was found by Heurico 1.16 in 47.9 seconds.