The generator matrix 1 0 0 0 1 1 1 1 X+2 1 2 1 1 X^2+2 2 1 1 X X^2+X X^2+X+2 1 X^2+X X^2+2 1 2 1 X+2 1 1 1 1 X^2+2 X^2+X+2 1 X^2 1 1 1 1 2 2 1 1 1 X^2+X+2 X^2+X 1 X^2+X 1 1 0 1 0 0 X X^2+1 X^2+X X^2+X+3 1 3 X+2 X+1 0 1 1 X^2+X+2 1 X 1 1 X^2+X+1 X^2+X+2 1 X^2+X+2 X^2 1 1 2 X^2 2 X^2+X+3 1 X^2 0 X^2+X+2 X+1 X+2 X^2+X+1 X+1 1 1 2 X^2+2 1 X+2 X+2 X^2+2 1 X^2+X 0 0 0 1 0 0 2 X+3 X+1 X+1 X^2+1 1 X 1 X^2+X+2 X^2+X+3 X^2+X X^2+X+3 X^2+X X^2+3 X^2+X X^2 1 X^2+2 2 1 3 3 3 X^2+3 X^2+X+2 X^2+3 X 1 X^2+X+1 1 X^2+3 X^2+X+2 X^2+X+3 X^2+X X^2+X+2 X^2+X+1 X^2+2 1 X^2 X 1 2 X^2+X+1 X^2 0 0 0 0 1 1 X+3 X^2+X+1 X^2+1 2 0 3 X^2 X^2+X+2 X^2+X+3 3 X^2+2 X^2+X+2 1 X^2+X X+2 X+3 X^2 X^2+1 X+3 X^2+1 X^2+1 1 3 X^2 X^2+1 X X^2+3 2 X+1 X+3 X^2+3 X^2+X X^2+2 1 X^2 X+1 X^2+X X+1 X 1 1 3 X^2+1 X+2 2 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 0 0 2 2 generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 43. Homogenous weight enumerator: w(x)=1x^0+244x^43+1408x^44+2980x^45+6468x^46+9536x^47+15090x^48+18708x^49+21664x^50+19228x^51+15867x^52+9504x^53+5826x^54+2600x^55+1367x^56+356x^57+100x^58+72x^59+41x^60+4x^61+6x^62+2x^64 The gray image is a code over GF(2) with n=400, k=17 and d=172. This code was found by Heurico 1.16 in 106 seconds.