The generator matrix 1 0 0 0 1 1 1 2 0 1 1 X 1 1 X 0 X+2 2 1 2 1 2 1 2 1 1 1 X 1 1 1 X+2 1 1 X+2 2 X+2 1 X+2 2 1 2 1 1 2 2 1 0 X 1 0 1 0 0 0 1 1 1 1 X+2 X X+2 X+3 1 1 1 2 1 1 1 X+1 1 0 X+2 1 X+3 2 1 3 X+2 1 1 0 3 1 X+2 X X+2 0 X+2 3 1 X 1 1 1 X 0 1 0 0 0 1 0 1 1 0 3 X+1 2 3 1 X+1 X+2 X X 2 2 X+3 1 3 X+1 X 1 X+2 0 X+3 0 X X+1 X+3 3 3 X X+2 2 2 X 1 1 X+1 3 X+3 0 X+3 X+2 1 1 X+2 0 0 0 0 1 1 0 1 1 2 X+1 X+2 3 1 2 3 X 1 X+3 X+2 0 X+1 1 X X+2 X X+1 1 X+2 2 2 1 0 X X+1 X+2 1 1 X+2 X 0 X+1 1 1 X 3 X 2 X+3 X+1 2 0 0 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 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+48x^42+314x^43+524x^44+926x^45+976x^46+1530x^47+1342x^48+1914x^49+1463x^50+1778x^51+1359x^52+1570x^53+871x^54+832x^55+395x^56+274x^57+157x^58+56x^59+25x^60+18x^61+5x^62+2x^63+2x^64+2x^69 The gray image is a code over GF(2) with n=200, k=14 and d=84. This code was found by Heurico 1.16 in 7.81 seconds.