The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 1 1 1 2 X+2 1 1 1 X X 1 X 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 X 1 1 1 1 X+2 1 1 1 X 2 0 1 X+2 1 X 1 1 1 0 1 1 1 X 2 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 X+3 2 1 0 X+1 1 1 1 X+2 3 X+2 1 1 X+1 1 X+2 0 3 1 0 X+2 X+2 1 X+1 X 3 X+2 1 1 3 1 3 2 3 0 1 X+2 X+3 X+3 X 1 1 X 1 0 2 X+1 2 X+3 1 1 X+3 X+3 2 X 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X X+2 X+2 0 2 0 X+2 X 0 0 0 X+2 X+2 X 0 2 2 X 2 0 2 2 X X X+2 X 2 0 X+2 X X X 0 X X X 2 X+2 X+2 X+2 X X+2 X X+2 0 X X+2 X 0 2 2 2 0 X X X 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+90x^58+76x^59+321x^60+156x^61+599x^62+432x^63+760x^64+544x^65+859x^66+616x^67+859x^68+632x^69+723x^70+368x^71+470x^72+192x^73+222x^74+44x^75+113x^76+12x^77+51x^78+31x^80+13x^82+3x^84+3x^86+2x^88 The gray image is a code over GF(2) with n=268, k=13 and d=116. This code was found by Heurico 1.16 in 4.32 seconds.