The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 X+2 1 1 X 1 1 2 1 1 1 2 1 X 1 X 1 1 X+2 1 2 1 X+2 1 1 1 0 0 1 1 1 X+2 1 X+2 1 1 0 1 1 1 1 X 1 1 1 X 1 1 0 1 1 X 2 1 0 1 2 0 1 1 0 X+3 1 X X+3 1 3 1 0 2 X+1 1 1 1 X+2 3 1 X X+1 1 X 3 3 1 X 1 X+2 1 0 X+3 1 X+2 1 X+3 1 X+3 X 0 1 1 X+2 2 3 1 0 1 1 2 1 X+1 X+1 X+3 X+2 1 3 X X+3 1 X+2 X+1 1 X+2 X+2 0 1 X 1 X 1 0 0 X 0 X+2 0 0 2 2 0 2 X X+2 X+2 X X+2 X X 0 X 2 0 X+2 0 X+2 0 0 X+2 2 X X+2 0 2 2 2 X X X 0 X X+2 X+2 0 0 0 2 X X X X+2 2 2 X X+2 2 X+2 2 X X 0 X+2 2 0 0 0 2 X X X X X+2 X 0 0 0 X 0 0 X X+2 X+2 2 X X 0 X X X+2 2 X+2 X+2 X 0 0 2 X X+2 X+2 0 0 X+2 2 0 2 X 2 0 0 2 X 2 X X+2 X+2 X+2 X 0 0 2 2 X+2 0 2 X+2 X+2 X+2 X+2 X+2 X+2 0 0 2 X+2 0 X 2 0 0 X+2 X 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+68x^63+99x^64+264x^65+296x^66+458x^67+618x^68+638x^69+698x^70+676x^71+730x^72+650x^73+746x^74+604x^75+516x^76+390x^77+248x^78+200x^79+60x^80+90x^81+52x^82+34x^83+15x^84+12x^85+6x^86+8x^87+6x^88+4x^89+2x^90+2x^92+1x^100 The gray image is a code over GF(2) with n=288, k=13 and d=126. This code was found by Heurico 1.16 in 5.62 seconds.