The generator matrix 1 0 1 1 1 X+2 1 1 X 1 1 2 X+2 1 X+2 1 1 1 0 1 1 1 1 2 2 X+2 2 X 0 X+2 2 X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 1 1 X+2 1 1 2 1 1 1 1 1 X+2 X 0 1 1 1 1 X X+2 2 1 1 1 1 0 1 1 X+2 X+3 1 2 X+1 1 X 3 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X+2 2 X 0 X+2 2 X 2 X X+1 3 1 0 1 X+3 1 X+3 1 1 3 1 X+1 1 1 X+1 2 1 1 0 2 2 X+2 X+3 1 1 2 X+1 3 X X+2 0 0 X 0 X+2 0 X 2 X X+2 0 X+2 2 2 X 2 X X 0 X+2 X+2 2 0 X+2 2 0 X X 0 0 X X 0 0 X X 2 2 X X 2 2 0 0 X+2 X X+2 X X X+2 X X+2 0 X 0 2 0 X+2 X+2 X+2 2 X X 2 0 X+2 2 2 X X 2 0 X+2 0 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+96x^67+182x^68+198x^69+165x^70+138x^71+203x^72+204x^73+176x^74+138x^75+118x^76+146x^77+121x^78+64x^79+28x^80+20x^81+15x^82+10x^83+7x^84+4x^85+1x^86+2x^87+4x^88+4x^89+1x^92+1x^94+1x^98 The gray image is a code over GF(2) with n=292, k=11 and d=134. This code was found by Heurico 1.16 in 28.2 seconds.