The generator matrix 1 0 0 1 1 1 0 1 1 X 1 1 X 1 X 1 2 0 1 2 1 X+2 1 1 X X+2 1 1 1 1 1 0 2 1 1 2 0 1 X+2 1 2 1 1 1 X+2 1 1 1 1 1 0 1 0 0 1 1 1 2 X+3 1 X+1 X+2 1 1 X+2 2 X+2 1 1 1 X 2 X+1 X 1 1 0 1 X+3 0 X 2 1 1 X+2 0 1 2 1 X 1 2 X+2 X+1 0 X+2 X X+1 X X 0 0 1 X+1 X+3 0 X+1 X X+2 3 3 X+1 X 1 1 3 1 3 X X+2 X 1 X+1 X+1 2 X+1 X X+2 2 0 1 1 X+2 2 3 1 0 X+3 0 X+2 3 1 3 X+2 1 X+3 X+2 X+3 1 X 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 2 2 generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+105x^44+202x^45+348x^46+422x^47+422x^48+532x^49+449x^50+342x^51+279x^52+272x^53+241x^54+178x^55+145x^56+76x^57+43x^58+18x^59+4x^60+6x^61+7x^62+4x^64 The gray image is a code over GF(2) with n=200, k=12 and d=88. This code was found by Heurico 1.16 in 0.542 seconds.