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 X 1 0 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 X 0 X 1 0 X 1 0 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X X+2 0 2 X+2 X X+2 X X 0 2 0 2 0 X+2 X+2 X 0 X+2 X X X+2 X 0 2 X+2 0 0 X+2 X+2 X X X 2 0 2 X 0 2 X+2 X X+2 X+2 X X+2 0 X 0 2 X+2 X 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+96x^62+117x^64+32x^65+160x^66+160x^67+320x^69+256x^70+320x^71+88x^72+160x^73+160x^74+32x^75+96x^78+42x^80+7x^88+1x^120 The gray image is a code over GF(2) with n=280, k=11 and d=124. This code was found by Heurico 1.16 in 27.4 seconds.