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 X 0 1 1 1 X 1 X 0 1 0 X 2 1 1 1 2 X 1 X X 1 1 2 X X 1 X 0 1 X X X 1 1 1 1 2 1 X 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X 0 2 X 0 X+2 X 0 X X X+2 2 2 0 X+2 2 0 2 X+2 X+2 X+2 X 0 0 X X 0 2 X 2 X X X+2 X X+2 X+2 X+2 X 0 2 2 2 0 X X+2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 2 X 0 X+2 0 0 0 X+2 2 0 X X X X X X+2 X X X 2 X+2 X+2 X X X 0 0 X X 0 2 2 2 X 0 2 0 X X X+2 X+2 X X 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 2 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+42x^58+90x^59+137x^60+166x^61+218x^62+432x^63+195x^64+654x^65+237x^66+1178x^67+236x^68+1180x^69+235x^70+1114x^71+209x^72+668x^73+162x^74+398x^75+157x^76+126x^77+96x^78+100x^79+74x^80+22x^81+21x^82+14x^83+14x^84+7x^86+2x^87+1x^88+2x^90+4x^94 The gray image is a code over GF(2) with n=276, k=13 and d=116. This code was found by Heurico 1.16 in 6.47 seconds.