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 1 X+2 1 1 1 1 0 1 1 0 X+2 1 1 1 1 X+2 1 0 1 1 X+2 1 1 1 1 0 1 2 1 1 1 0 X+2 1 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 0 1 X+2 3 X+1 0 1 X+2 3 1 1 0 0 X+1 3 1 X+1 1 0 X+1 1 X+2 X+3 X+1 3 1 X+2 1 3 X+2 3 1 1 X+1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 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 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 generates a code of length 56 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+74x^44+52x^46+16x^47+374x^48+96x^49+596x^50+304x^51+1480x^52+656x^53+2168x^54+976x^55+2842x^56+976x^57+2168x^58+656x^59+1464x^60+304x^61+596x^62+96x^63+305x^64+16x^65+52x^66+80x^68+30x^72+6x^76 The gray image is a code over GF(2) with n=224, k=14 and d=88. This code was found by Heurico 1.16 in 11.8 seconds.