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 2 2 X X X 1 X X 1 0 1 1 0 1 X 1 1 X 1 X 1 X X 1 1 1 2 1 1 1 1 0 X X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X 0 X X 2 X 2 2 X X 2 X+2 2 X X X+2 X+2 X X+2 0 X X X+2 X+2 X+2 X+2 X 2 X 0 0 X 2 2 X X X X+2 X 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 0 0 2 0 X X X+2 2 2 2 2 X 0 2 X+2 X+2 X X 0 X X X 0 2 X+2 2 0 X+2 X+2 X+2 X X X 0 0 2 X X 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X X+2 2 0 0 2 X X+2 X X X+2 0 X X 2 2 2 X 2 X+2 2 0 X X X+2 X+2 X+2 X X+2 X X+2 2 X X 2 2 2 X 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 0 2 2 0 2 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+149x^60+382x^62+36x^63+522x^64+144x^65+676x^66+320x^67+933x^68+512x^69+962x^70+536x^71+897x^72+336x^73+622x^74+128x^75+483x^76+32x^77+230x^78+4x^79+167x^80+60x^82+43x^84+10x^86+4x^88+2x^90+1x^104 The gray image is a code over GF(2) with n=280, k=13 and d=120. This code was found by Heurico 1.16 in 6.32 seconds.