The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 X 2 1 1 1 2 2 1 1 2 1 X 1 1 X+2 X 1 1 2 0 X X 1 1 1 1 X X 0 1 1 1 1 1 1 2 0 0 1 0 0 1 X+3 1 3 1 X 2 X X+3 1 0 1 X 3 1 1 X 0 1 1 1 1 0 2 1 2 X+1 X 1 1 1 2 3 X+2 3 X+2 1 1 X 3 0 X+3 X X+1 1 1 0 0 1 1 1 0 1 X X+1 X+3 X 1 X+1 0 1 3 X X+2 3 X+2 1 X+1 0 X+1 X+3 X+2 0 1 1 X+1 X 1 X+3 2 X+2 X 2 2 3 1 1 1 1 X+3 2 X X+1 2 X+1 0 0 0 0 X 0 0 2 0 2 X 0 0 2 0 X+2 X+2 X+2 X+2 X X X+2 0 X+2 X 0 2 2 2 2 X X+2 0 X 2 X 0 X+2 X+2 2 X+2 X+2 X+2 X X+2 X 0 0 X 2 0 0 0 0 0 X X+2 X+2 X+2 X 0 0 2 X X+2 2 X+2 0 X X+2 X X+2 X 2 2 2 0 X+2 X 0 X X+2 X+2 0 X 2 0 X+2 X+2 0 X+2 0 X+2 X+2 2 X 2 X+2 2 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 2 0 2 2 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+146x^42+208x^43+711x^44+628x^45+1140x^46+1096x^47+1747x^48+1620x^49+1870x^50+1688x^51+1720x^52+1148x^53+1024x^54+568x^55+544x^56+188x^57+222x^58+24x^59+73x^60+12x^62+4x^64+2x^66 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 8.71 seconds.