The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 1 1 X+2 1 X X+2 1 1 1 1 1 1 0 1 2 1 X 1 1 1 0 1 1 0 1 0 X+2 1 1 1 X+2 1 0 1 1 0 1 1 0 1 1 X X+3 1 X+2 1 X+3 X+3 1 X X 3 1 X+3 1 1 X+3 X+2 0 X+1 0 3 1 X 1 3 1 0 X 3 1 X 1 1 X+2 1 1 X+2 1 X+1 1 X+3 0 3 X+2 0 0 X 0 0 0 0 0 0 2 2 X 0 0 2 2 0 2 X+2 X+2 X+2 X X+2 X+2 0 X+2 2 X 2 X X+2 X+2 2 X+2 X X+2 2 X 2 X+2 0 2 0 X 2 X+2 0 0 X X+2 0 0 0 X 0 0 X 2 X 2 X+2 0 X 0 0 X+2 X+2 X X+2 0 X X+2 2 X+2 2 X 0 X X 2 0 2 2 2 X 0 X 2 2 X+2 2 0 0 X+2 2 X X+2 0 X X+2 0 0 0 0 X 0 0 X 2 2 0 2 2 X X+2 X X X X+2 0 X 2 X X 2 2 2 2 X+2 X+2 X X+2 X 2 X+2 2 0 0 X 2 2 X 0 0 0 2 0 X X+2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 0 generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+56x^42+144x^43+232x^44+386x^45+562x^46+660x^47+794x^48+900x^49+888x^50+846x^51+736x^52+682x^53+516x^54+318x^55+206x^56+90x^57+74x^58+42x^59+12x^60+20x^61+14x^62+6x^63+3x^64+2x^65+2x^66 The gray image is a code over GF(2) with n=200, k=13 and d=84. This code was found by Heurico 1.16 in 3.13 seconds.