The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 2 1 2 1 1 1 X 1 1 X 1 1 1 X+2 1 1 0 X+2 1 1 1 X+2 1 1 1 1 1 2 X 1 X 0 1 X+2 X+2 1 1 1 1 1 1 X+2 X+2 1 1 2 1 X 1 1 1 0 1 1 2 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 1 1 1 2 X+3 X+3 1 X+2 3 1 X 3 X+2 1 X+1 0 1 1 0 3 0 1 X+3 X+2 2 X+3 1 1 1 X+1 1 1 X+1 1 1 X+2 1 1 1 0 X+2 1 1 X+2 3 2 0 1 0 3 2 1 X 1 1 0 0 X 0 X+2 0 X+2 0 X+2 X+2 2 X 2 X X 0 X+2 X 2 X 0 2 2 X X X+2 0 2 X+2 0 X 2 0 0 0 X+2 0 X X X+2 X X X+2 X 0 0 X+2 X+2 2 2 X 2 X+2 X 0 X+2 X+2 X X 0 X+2 2 X+2 2 2 2 X X 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 generates a code of length 68 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+46x^59+157x^60+174x^61+364x^62+302x^63+695x^64+480x^65+883x^66+574x^67+997x^68+544x^69+915x^70+450x^71+599x^72+274x^73+337x^74+136x^75+79x^76+56x^77+38x^78+24x^79+22x^80+6x^81+17x^82+4x^83+7x^84+2x^85+3x^86+3x^88+3x^90 The gray image is a code over GF(2) with n=272, k=13 and d=118. This code was found by Heurico 1.16 in 74.1 seconds.