The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 0 X+2 1 1 1 1 1 0 X+2 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 X+2 2 X+2 0 1 2 1 1 X 0 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 X+1 1 1 0 3 X+2 3 0 1 1 X+1 X+2 X+2 X+1 X+1 0 3 0 1 0 1 0 3 1 1 1 1 1 2 0 1 X+2 X+1 1 2 X+1 X+1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 0 generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+102x^44+4x^45+114x^46+92x^47+585x^48+336x^49+788x^50+712x^51+1599x^52+1192x^53+1868x^54+1464x^55+2083x^56+1216x^57+1520x^58+720x^59+939x^60+308x^61+306x^62+76x^63+246x^64+16x^65+12x^66+8x^67+61x^68+13x^72+3x^76 The gray image is a code over GF(2) with n=220, k=14 and d=88. This code was found by Heurico 1.16 in 11.9 seconds.