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 0 2 1 1 1 1 1 2 1 1 1 1 1 1 1 0 X 1 1 1 X X 1 1 0 1 X 1 2 X 0 1 0 1 0 X 0 0 0 X X+2 X 2 2 X 0 0 X X X+2 0 0 X+2 X 2 X X+2 2 2 0 2 X X+2 X 0 X+2 X X+2 2 0 X 2 X+2 2 X 2 X+2 2 2 X+2 X X+2 0 0 X X X+2 X+2 0 0 0 X 0 X+2 X X+2 0 2 X+2 X+2 X 2 X X X+2 X 0 0 0 X 0 X X X 0 2 0 X+2 X X+2 0 X+2 0 2 X+2 2 X+2 0 2 X X 0 0 X X 2 X+2 X 2 0 0 X 0 2 X X X 2 X+2 X+2 X+2 X 0 X+2 X X X+2 0 X 2 X+2 0 X 2 X+2 2 X X+2 2 2 X X+2 X+2 X 0 X+2 X 0 0 2 0 0 0 X X 0 X X+2 0 X 2 X 2 X+2 X 0 2 X X 0 X+2 2 X+2 2 X+2 0 X X+2 0 0 2 X X+2 X+2 0 0 0 X+2 X 0 X+2 X+2 X X+2 2 0 0 2 2 2 0 X+2 X+2 0 X X X 2 2 X X 2 0 0 X 0 X X 0 2 X 2 X 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 0 0 0 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+138x^66+4x^67+154x^68+80x^69+270x^70+108x^71+268x^72+144x^73+245x^74+76x^75+191x^76+96x^77+113x^78+4x^79+52x^80+53x^82+27x^84+13x^86+10x^88+1x^120 The gray image is a code over GF(2) with n=292, k=11 and d=132. This code was found by Heurico 1.16 in 2.37 seconds.