The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 2 1 0 1 X 1 1 1 X+2 1 1 1 2 X 1 2 1 X 1 0 1 1 1 1 X+2 1 X+2 2 1 1 X+2 1 1 X 1 2 1 1 1 0 1 1 0 X+3 1 X+1 X+2 1 2 1 X+3 X+3 0 1 X 1 3 1 3 X+2 0 1 3 X+2 2 1 1 X+1 1 X+3 1 X 1 X+1 X 3 3 1 1 1 1 X+1 X 1 3 X+3 1 0 2 3 X+3 X+1 0 0 X 0 X+2 0 2 2 X X+2 X+2 0 X X 0 2 X+2 0 X+2 X X+2 X 2 0 X+2 X X+2 X X+2 X+2 2 2 2 0 X+2 X 2 X+2 2 2 X+2 2 X+2 0 X 2 2 X X 0 X+2 2 X 0 0 0 X 0 0 0 2 2 2 2 X X X X X X X X+2 X X+2 X+2 X+2 0 2 0 X 0 X X X+2 X+2 0 0 X 0 X 2 2 X+2 X X 0 X+2 X 0 0 X 2 X 0 2 X 0 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+79x^46+56x^47+409x^48+124x^49+470x^50+208x^51+622x^52+244x^53+593x^54+216x^55+477x^56+132x^57+271x^58+32x^59+76x^60+12x^61+44x^62+13x^64+15x^66+1x^68+1x^76 The gray image is a code over GF(2) with n=212, k=12 and d=92. This code was found by Heurico 1.16 in 0.722 seconds.