The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 0 X+2 1 1 1 1 1 1 0 2 X+2 X+2 1 1 1 1 0 X+2 1 1 1 X+2 1 X 1 1 0 1 1 X 1 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 1 1 0 X+2 X+1 3 0 X+1 1 1 1 1 X+2 3 X+1 0 1 1 X+2 X+1 2 1 X+2 X+2 X 3 1 X+1 X+3 0 0 X+1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 2 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+88x^40+52x^42+56x^43+313x^44+240x^45+422x^46+608x^47+978x^48+1280x^49+1306x^50+1936x^51+1870x^52+1888x^53+1348x^54+1248x^55+992x^56+640x^57+400x^58+248x^59+250x^60+48x^61+54x^62+81x^64+2x^66+30x^68+4x^72+1x^76 The gray image is a code over GF(2) with n=208, k=14 and d=80. This code was found by Heurico 1.16 in 10.3 seconds.