The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 X X 0 X 2 1 X 2 X 0 2 0 1 X 2 X X 1 2 0 X 2 1 1 X 1 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 X 2 X+2 2 X X X 2 X 0 X 2 X+2 X X+2 X+2 X+2 X+2 X 0 X 2 2 0 X+2 X 2 0 0 X 2 0 X+2 X X X 0 X 2 X+2 X X X 0 X 0 X+2 2 0 X+2 0 0 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X 0 X X+2 2 0 X+2 X X X+2 X+2 2 0 X+2 0 2 X+2 X 0 2 X+2 X+2 2 X 2 0 0 2 2 0 2 X X 0 0 X X+2 2 0 X X+2 X+2 2 2 X+2 2 2 0 X 2 X 0 0 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 X+2 2 X+2 X 0 2 0 2 X X X 2 X 0 X+2 0 X X+2 0 2 X+2 2 X X 2 2 X+2 0 2 X+2 X+2 X 0 X+2 2 2 X X X+2 X X 0 0 0 0 0 X X+2 X+2 X+2 0 0 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 2 X+2 X+2 X X+2 2 2 X 0 X+2 2 X+2 X+2 X X+2 X 0 X+2 X+2 X+2 0 0 2 0 0 X+2 X+2 2 X 0 X+2 0 0 0 X 2 2 0 2 0 X+2 2 X+2 X+2 0 X X X X+2 0 X 0 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X+2 X 0 2 2 0 X 0 X 2 2 X+2 X+2 X+2 X+2 0 2 2 2 X X+2 2 X 0 X 2 X+2 X+2 2 X X 0 2 2 X+2 X X 2 X+2 X X 2 0 2 2 X 0 X X 2 X+2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 2 2 2 2 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+60x^58+102x^59+187x^60+270x^61+322x^62+484x^63+610x^64+710x^65+967x^66+1098x^67+1245x^68+1510x^69+1398x^70+1326x^71+1375x^72+1196x^73+933x^74+716x^75+481x^76+400x^77+323x^78+194x^79+160x^80+116x^81+83x^82+44x^83+34x^84+20x^85+9x^86+4x^87+2x^88+2x^89+1x^92+1x^98 The gray image is a code over GF(2) with n=280, k=14 and d=116. This code was found by Heurico 1.16 in 23.1 seconds.