The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 0 1 1 1 X+2 1 1 1 0 1 X+2 1 0 X+2 1 1 1 1 1 X+2 1 1 0 1 1 1 X 1 X+2 X+2 1 1 X+2 1 0 1 1 1 1 2 0 1 1 X 1 1 1 1 0 1 X 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 1 3 0 X+2 1 X+1 X+3 2 1 X+2 1 3 1 1 0 X+1 X+2 3 0 1 3 0 1 X+2 3 0 1 3 1 1 X+1 X+1 1 X+2 1 X+1 X+3 X+1 X+2 1 1 0 0 1 X+3 X X+3 3 1 3 0 X+1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 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+62x^58+165x^60+32x^61+412x^62+168x^63+721x^64+512x^65+1161x^66+992x^67+1722x^68+1344x^69+1870x^70+1392x^71+1647x^72+1024x^73+1171x^74+480x^75+688x^76+160x^77+370x^78+40x^79+125x^80+47x^82+30x^84+18x^86+17x^88+7x^90+3x^92+2x^94+1x^96 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 17.4 seconds.