The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 2 X X 1 0 2 1 X 0 0 0 1 1 1 X 1 1 X 1 1 1 1 1 1 X 2 X X X 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 X 2 X 0 X+2 X+2 X X X X X+2 X+2 X X X 2 0 2 2 X 0 2 X+2 X X+2 X 0 X+2 X+2 X X+2 2 2 0 X X+2 X+2 X 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X X+2 0 0 2 X 0 X 2 X 2 2 X+2 0 X 0 X+2 X X 2 X X+2 2 X+2 2 2 X 2 X X+2 X+2 2 X+2 X+2 X+2 2 2 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+41x^46+26x^47+124x^48+168x^49+196x^50+272x^51+391x^52+484x^53+596x^54+660x^55+708x^56+812x^57+768x^58+780x^59+565x^60+484x^61+334x^62+238x^63+195x^64+92x^65+84x^66+68x^67+49x^68+8x^69+20x^70+4x^71+12x^72+8x^74+3x^76+1x^78 The gray image is a code over GF(2) with n=228, k=13 and d=92. This code was found by Heurico 1.16 in 4.87 seconds.