The generator matrix 1 0 0 1 1 1 X+2 1 1 0 1 1 X 2 2 X 1 1 X+2 2 1 2 1 2 1 X X+2 1 1 1 X 1 1 1 1 X 1 1 2 1 1 1 0 0 1 2 0 1 1 X+2 0 1 0 0 1 X+3 1 X X+1 1 X 3 1 X 1 1 X+1 2 1 2 X+2 1 3 1 X+2 1 X+2 1 X+1 2 1 X+3 2 X+3 3 0 0 X+2 X+2 3 X X+2 1 1 0 X 1 0 X+3 1 0 0 1 X+1 1 X+2 X+3 X X+3 X+3 1 0 X 1 1 2 0 X+2 X+1 1 X+1 X+2 X+1 0 X+1 X+2 1 X X+1 1 1 1 X+3 3 X 1 2 X 1 2 X+2 0 0 X+2 X 1 X X+3 X+3 X 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 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+179x^42+196x^43+686x^44+584x^45+1280x^46+976x^47+1874x^48+1288x^49+2215x^50+1336x^51+1980x^52+1048x^53+1248x^54+528x^55+500x^56+152x^57+177x^58+36x^59+70x^60+16x^62+9x^64+5x^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 45.2 seconds.