The generator matrix 1 0 0 1 1 1 X+2 1 X 1 2 X+2 1 1 0 1 0 1 X 1 1 X X+2 1 1 1 1 X+2 X+2 1 0 1 1 1 1 1 2 1 2 1 X X 1 2 X X 1 X+2 1 1 1 1 1 1 X X+2 0 1 X X X 1 X 2 X 1 1 0 1 2 1 2 1 0 1 0 0 1 X+1 1 3 2 X+1 1 1 0 X+2 X X+3 1 X 1 0 3 0 1 X+2 1 3 X+2 1 1 X+2 1 2 X+1 2 X 1 1 2 1 3 1 X+2 X 1 1 X 0 X+2 X+3 X+2 0 2 X+3 0 1 2 0 2 X+2 1 X+2 1 1 1 1 2 X X+2 1 X 2 1 0 0 0 1 1 X+1 2 1 1 1 X+2 X X+1 X+2 1 1 1 X+3 X+1 2 2 X 1 1 3 X+1 0 2 2 X X 3 2 0 X+1 X X+3 X+3 X+1 0 X+2 2 1 X+3 X X+3 1 X 1 X+2 0 1 1 2 X+1 X+3 1 1 3 1 0 1 1 X X+2 X 0 0 1 0 1 X+3 X+3 0 0 0 0 X X 0 X+2 X+2 X 2 0 X+2 0 X+2 X 0 2 2 X X+2 X 2 0 2 0 X+2 X+2 0 2 X 2 2 X+2 X+2 0 0 X 0 X+2 2 X 0 2 X+2 0 X 2 X+2 0 X X 2 X X X+2 2 X+2 2 0 0 X X+2 X+2 0 2 0 2 X+2 X 0 X 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 2 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+68x^66+232x^67+226x^68+394x^69+377x^70+450x^71+299x^72+354x^73+280x^74+322x^75+250x^76+260x^77+115x^78+160x^79+102x^80+72x^81+43x^82+50x^83+11x^84+4x^85+12x^86+2x^87+6x^88+2x^89+1x^90+1x^92+2x^93 The gray image is a code over GF(2) with n=292, k=12 and d=132. This code was found by Heurico 1.16 in 1.02 seconds.