The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X 1 2 1 1 1 1 0 1 1 X+2 1 1 X 1 1 X 1 1 1 0 1 1 X+2 2 1 X+2 1 1 X+2 1 2 1 X+2 1 1 1 2 1 X 1 1 1 1 X+2 X X 1 1 1 X X 0 1 X 2 1 2 1 X 1 1 1 1 X X 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 2 X+3 1 X 1 1 X 3 1 X+1 1 1 X 3 0 1 2 3 1 1 X+2 1 0 1 1 X+2 1 X+1 1 X+1 X+1 X+2 1 2 1 X X+2 X+3 2 1 1 0 X+2 1 X+1 1 2 X X X 1 X+2 X X+2 1 X+3 2 X+1 3 X+2 1 X+3 0 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 X 2 X X 2 2 X X 0 2 2 X X X 2 X+2 X 2 2 X 0 2 X+2 2 X+2 2 0 X+2 0 X+2 0 2 0 0 0 X X+2 0 X X X+2 X 0 2 X+2 2 X 2 X+2 X+2 X+2 0 X X+2 2 X+2 X+2 2 2 X 0 0 X+2 X X 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 generates a code of length 78 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+27x^66+50x^67+105x^68+254x^69+310x^70+546x^71+513x^72+976x^73+699x^74+1508x^75+951x^76+1770x^77+1035x^78+1904x^79+924x^80+1460x^81+708x^82+902x^83+441x^84+566x^85+217x^86+190x^87+95x^88+76x^89+55x^90+20x^91+29x^92+18x^93+13x^94+9x^96+7x^98+2x^100+1x^102+2x^104 The gray image is a code over GF(2) with n=312, k=14 and d=132. This code was found by Heurico 1.16 in 19 seconds.