The generator matrix 1 0 1 1 1 3X+2 1 1 2 1 1 3X 1 1 2X 1 1 X+2 1 1 2X+2 1 1 X 1 1 0 1 1 3X+2 1 1 1 1 1 1 1 1 1 1 1 1 2 3X 2X X+2 2X+2 X 1 1 1 1 1 0 1 X+1 3X+2 2X+3 1 2 X+3 1 3X 2X+1 1 2X 3X+1 1 X+2 3 1 2X+2 3X+3 1 X 1 1 0 X+1 1 3X+2 2X+3 1 2 3X X+3 2X+1 2X X+2 2X+2 X 3X+1 3 3X+3 1 1 1 1 1 1 1 0 3X+2 2 3X 2X generates a code of length 53 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+30x^52+192x^53+30x^54+1x^64+2x^74 The gray image is a code over GF(2) with n=424, k=8 and d=208. This code was found by Heurico 1.16 in 0.032 seconds.