The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 X 2 1 1 X+2 1 X+2 X+2 1 1 1 X+2 1 X 1 1 1 2 2 X+2 2 X 1 1 X 1 X 1 0 2 2 X 1 1 X 0 1 1 1 1 2 1 X 1 1 1 1 1 1 X+2 1 2 X+2 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 X+1 X+3 1 X+2 X+2 1 X+2 1 X+2 2 1 1 0 X+3 2 2 1 1 1 X+2 1 1 1 X+3 1 X+1 1 2 0 1 3 X+3 1 0 X+2 X X+3 3 1 X X X+2 1 X+1 X+2 X 3 1 X+3 2 1 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 3 X X+2 X+3 X+1 3 1 2 0 2 0 1 3 X+2 X+2 X 1 1 X+2 1 1 1 X+2 3 0 X+2 2 3 X+1 1 1 X+1 3 X+3 1 1 1 3 X+2 1 X+1 X+3 1 1 1 X 3 X 0 X 1 1 1 X 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 2 0 X X+2 2 X 2 2 2 X+2 0 0 X+2 2 2 0 2 X X X X+2 X 2 0 X X X+2 0 0 0 X X+2 2 0 X+2 0 X+2 2 X 2 2 0 X X+2 X 0 0 2 2 X+2 X+2 X+2 0 X+2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 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+140x^63+228x^64+656x^65+510x^66+1102x^67+854x^68+1568x^69+1012x^70+1704x^71+1019x^72+1680x^73+1067x^74+1572x^75+726x^76+1054x^77+422x^78+530x^79+205x^80+134x^81+50x^82+68x^83+28x^84+26x^85+6x^86+2x^87+11x^88+2x^89+5x^90+2x^91 The gray image is a code over GF(2) with n=288, k=14 and d=126. This code was found by Heurico 1.16 in 17.5 seconds.