The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 1 1 2 0 1 1 1 0 0 2 1 2 1 1 1 1 2 2 1 2 1 1 2 1 1 1 2 1 1 1 1 1 2 0 0 1 1 0 2 0 0 1 1 0 1 1 0 2 0 2 0 1 0 0 1 2 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 3 1 1 2 0 2 0 3 3 1 1 1 2 1 1 0 1 1 1 3 0 3 3 2 1 3 1 0 0 2 3 2 2 1 2 3 2 2 1 1 2 1 3 3 0 1 2 2 2 1 1 0 3 1 1 0 1 0 1 1 1 3 1 0 0 2 2 0 0 0 1 1 1 0 1 0 1 3 2 2 1 0 1 1 1 3 0 1 0 3 3 1 2 1 3 2 0 3 0 3 2 1 0 3 1 3 2 1 0 1 0 2 3 3 3 2 2 3 1 1 0 0 1 2 1 1 0 1 0 0 1 2 0 1 2 1 0 3 0 0 0 3 2 1 1 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 generates a code of length 78 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+39x^66+46x^67+111x^68+106x^69+169x^70+188x^71+240x^72+220x^73+191x^74+248x^75+204x^76+244x^77+227x^78+240x^79+190x^80+232x^81+186x^82+182x^83+156x^84+162x^85+148x^86+100x^87+80x^88+44x^89+39x^90+20x^91+24x^92+16x^93+15x^94+17x^96+9x^98+1x^100+1x^102 The gray image is a code over GF(2) with n=156, k=12 and d=66. This code was found by Heurico 1.16 in 3.44 seconds.