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 X 0 X 0 0 1 1 1 1 X 1 X 1 1 0 X 1 1 0 1 X 1 0 1 1 1 1 X 1 X 0 1 1 1 1 0 1 1 2 1 1 0 1 X 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 X+2 0 2 2 X X+2 X X+2 X X 0 X+2 X 0 X+2 0 X+2 X+2 X+2 X X+2 0 X X 0 X+2 X+2 X 2 2 X+2 0 X+2 X X+2 X 0 2 2 X X 2 0 2 0 0 X X 0 X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+2x^57+70x^58+20x^59+119x^60+76x^61+189x^62+160x^63+274x^64+372x^65+427x^66+586x^67+672x^68+784x^69+704x^70+888x^71+585x^72+610x^73+443x^74+336x^75+278x^76+180x^77+119x^78+56x^79+77x^80+24x^81+65x^82+2x^83+32x^84+23x^86+7x^88+3x^90+3x^92+4x^94+1x^102 The gray image is a code over GF(2) with n=280, k=13 and d=114. This code was found by Heurico 1.16 in 8.21 seconds.