The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 2 1 2 1 1 2 0 1 1 1 0 1 2 2 2 1 0 0 1 1 2 1 1 1 1 2 0 0 1 2 1 0 1 1 0 1 1 0 1 1 1 0 1 2 2 1 0 0 0 0 2 1 2 2 1 0 1 0 2 1 0 1 0 0 1 1 1 0 0 1 3 1 1 2 0 2 0 1 3 1 3 1 1 1 2 1 2 1 1 0 1 1 0 1 2 1 2 1 2 3 1 3 2 1 1 2 2 2 1 2 0 1 3 3 0 3 2 1 1 1 2 1 0 1 1 1 1 2 0 0 1 2 2 3 1 1 1 0 0 1 1 1 0 1 0 1 3 0 2 3 2 1 1 1 2 3 1 2 0 3 3 0 1 1 0 1 1 3 3 2 3 1 0 1 0 0 1 0 2 1 0 2 2 1 3 0 1 2 2 3 0 1 1 1 2 2 0 1 0 0 2 3 0 2 1 2 1 0 1 1 1 2 3 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 generates a code of length 77 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+41x^66+90x^67+142x^68+168x^69+222x^70+214x^71+238x^72+212x^73+226x^74+258x^75+201x^76+240x^77+224x^78+214x^79+209x^80+232x^81+155x^82+142x^83+143x^84+136x^85+110x^86+82x^87+68x^88+36x^89+30x^90+22x^91+15x^92+12x^94+2x^95+4x^96+2x^98+3x^100+2x^106 The gray image is a code over GF(2) with n=154, k=12 and d=66. This code was found by Heurico 1.16 in 3.41 seconds.