The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 2 0 1 1 1 1 1 1 2 X 2 1 X+2 0 1 2 1 1 1 1 X 1 X+2 2 0 1 2 1 1 1 X+2 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X 1 X 1 X 3 0 X+3 1 0 1 1 1 1 1 X+2 X+1 X X+1 0 2 0 1 X+1 1 0 1 X+3 1 1 X+3 X+2 X 2 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 X X+1 1 0 1 X+1 X 0 X+1 1 X 0 X 3 X 1 X+1 1 X+1 1 X 0 1 X+1 X+2 2 X+3 1 X+2 1 X+1 X+1 2 X+3 1 2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 2 2 0 0 2 0 2 0 generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+65x^40+130x^41+375x^42+392x^43+866x^44+786x^45+1542x^46+1096x^47+2286x^48+1314x^49+2284x^50+1176x^51+1574x^52+744x^53+814x^54+376x^55+303x^56+90x^57+89x^58+32x^59+24x^60+6x^61+12x^62+1x^64+2x^65+4x^66 The gray image is a code over GF(2) with n=196, k=14 and d=80. This code was found by Heurico 1.16 in 8.19 seconds.