The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 1 0 1 X+2 1 1 1 1 0 1 0 1 X+2 2 1 1 1 1 X+2 0 1 1 0 1 1 1 1 X+2 X 1 1 0 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 1 X+2 3 0 1 X+2 1 X+1 3 0 X+2 1 X+1 1 3 1 1 0 3 X+1 X+2 1 1 X+1 0 1 2 X+1 0 3 1 1 3 X+2 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+33x^40+45x^42+34x^43+152x^44+176x^45+142x^46+650x^47+308x^48+1184x^49+568x^50+2900x^51+823x^52+2400x^53+817x^54+2900x^55+545x^56+1184x^57+305x^58+650x^59+134x^60+176x^61+112x^62+34x^63+41x^64+38x^66+11x^68+17x^70+4x^74 The gray image is a code over GF(2) with n=212, k=14 and d=80. This code was found by Heurico 1.16 in 10.3 seconds.