The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 2 1 1 1 0 1 1 0 1 1 1 X+2 1 1 X 1 X 1 1 2 2 1 1 1 1 1 X 1 X 1 1 1 1 2 0 2 1 X+2 1 1 X 1 0 1 X+2 1 1 1 1 X 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 X+2 3 X+3 1 1 X+2 X+3 X+2 1 1 3 1 X+3 0 X+2 1 2 0 1 2 1 3 3 1 1 0 X+3 3 3 X+2 1 3 1 1 X+1 0 X+1 1 X 0 X+2 1 X+1 X 1 X+1 0 X+3 1 2 X+3 X 1 2 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X X 2 X 2 X+2 2 2 0 X X+2 X+2 0 X+2 0 0 0 X 0 X X+2 X 2 0 X X X X+2 2 2 2 2 X+2 0 X+2 0 X 0 X X+2 X 0 2 X+2 X X 2 X 0 X+2 0 2 X+2 2 X 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 0 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+104x^62+44x^63+364x^64+196x^65+633x^66+416x^67+724x^68+576x^69+778x^70+616x^71+844x^72+568x^73+719x^74+416x^75+475x^76+192x^77+240x^78+44x^79+113x^80+4x^81+67x^82+30x^84+14x^86+6x^88+5x^90+3x^92 The gray image is a code over GF(2) with n=284, k=13 and d=124. This code was found by Heurico 1.16 in 5.37 seconds.