The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 2 1 1 X 1 1 X+2 X+2 1 2 X+2 1 1 1 0 1 1 1 1 0 1 1 0 1 X 1 1 1 1 X+2 1 1 1 0 X 1 1 0 1 1 1 1 0 2 1 1 X X 1 0 X+2 1 2 2 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 0 X+1 1 2 X+3 1 X 3 1 X+2 1 1 1 0 1 1 X+3 2 X 1 3 X+1 0 X 1 X+3 3 1 3 1 0 X+2 1 0 1 X+3 X+1 2 1 1 0 2 0 2 X+1 X+2 0 1 1 3 X+1 X 2 2 1 1 3 1 1 0 0 0 X X+2 0 X+2 X X+2 X 0 2 0 2 0 0 X X X+2 X 0 X 2 X 2 0 0 X X X+2 X X 2 0 0 X X 2 0 0 0 0 X+2 2 0 X 0 0 X+2 X+2 2 X X+2 X 2 X 0 2 2 X 2 X 2 X+2 X X 0 X+2 0 0 X X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+24x^60+56x^61+115x^62+144x^63+283x^64+536x^65+473x^66+926x^67+676x^68+1620x^69+920x^70+1840x^71+1141x^72+1946x^73+1046x^74+1500x^75+661x^76+1008x^77+399x^78+384x^79+220x^80+188x^81+89x^82+54x^83+42x^84+20x^85+22x^86+16x^87+17x^88+2x^89+8x^90+5x^92+2x^96 The gray image is a code over GF(2) with n=288, k=14 and d=120. This code was found by Heurico 1.16 in 17 seconds.