The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 1 X+2 1 1 1 2 1 1 2 X+2 1 1 1 2 2 X 1 1 2 1 X+2 1 1 1 1 1 X+2 2 1 1 1 1 0 1 1 1 1 2 X+2 0 1 0 0 1 0 1 1 0 X+3 1 X X+1 1 X+2 1 3 X+3 1 X+2 1 1 2 0 X+3 1 3 X+2 1 1 1 X 3 1 1 1 1 2 1 0 1 X 1 0 1 X+3 1 1 X 3 2 2 X X+3 3 X+2 3 2 1 1 3 X 1 0 0 0 X 0 X+2 0 0 X 2 0 2 X 0 X+2 X 2 X X+2 X+2 2 X+2 0 X X X 2 0 X X 2 0 X X X 0 X+2 X 0 2 X+2 2 X+2 0 0 X X 2 2 2 0 0 2 2 X 2 X+2 X X 0 0 0 0 X 0 0 X X X+2 2 X X X X+2 X+2 X 2 0 X+2 0 2 0 2 2 X X X 0 0 2 0 X+2 2 X+2 2 X+2 X X X 2 0 X+2 X+2 X X X+2 X X 0 X+2 0 0 X X X+2 X+2 X+2 X 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+41x^50+94x^51+206x^52+334x^53+397x^54+536x^55+623x^56+708x^57+817x^58+832x^59+775x^60+714x^61+625x^62+458x^63+381x^64+252x^65+126x^66+104x^67+51x^68+38x^69+38x^70+22x^71+6x^72+4x^74+2x^75+4x^76+2x^77+1x^80 The gray image is a code over GF(2) with n=236, k=13 and d=100. This code was found by Heurico 1.16 in 3.79 seconds.