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 1 1 1 1 1 1 X X X X X X X X 1 2 1 1 X X X 2 1 2 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+110x^56+315x^60+48x^62+436x^64+260x^66+512x^67+695x^68+1536x^69+400x^70+1536x^71+695x^72+512x^73+280x^74+425x^76+32x^78+230x^80+4x^82+125x^84+31x^88+8x^92+1x^112 The gray image is a code over GF(2) with n=280, k=13 and d=112. This code was found by Heurico 1.16 in 8.37 seconds.