The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X 1 2 1 1 1 1 0 1 1 X+2 1 1 X+2 1 1 2 2 0 0 1 1 1 1 1 1 X 1 1 X+2 1 X+2 1 1 1 1 1 1 1 1 X+2 2 X 2 X X+2 1 1 0 X+2 2 X 1 1 1 X 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 2 X+3 1 X+2 1 1 X+2 1 1 0 0 1 1 1 1 X+3 X+3 2 0 X+1 X+3 1 X+2 X 1 3 1 1 1 X+3 X+2 X+2 X+2 3 2 1 X 2 1 1 1 1 X 0 1 2 X 0 3 X+3 2 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 X 2 X X 2 2 X X+2 2 2 0 X+2 0 0 X X 0 0 X X X X 0 0 X 0 X 0 0 2 X+2 X+2 X 0 0 2 2 X 2 X+2 X+2 X+2 X 0 2 2 X 2 X X+2 X X+2 0 X+2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+177x^56+40x^57+380x^58+344x^59+694x^60+776x^61+932x^62+1224x^63+1347x^64+1704x^65+1238x^66+1688x^67+1331x^68+1288x^69+936x^70+792x^71+577x^72+272x^73+312x^74+48x^75+161x^76+16x^77+36x^78+55x^80+6x^82+5x^84+2x^88+1x^92+1x^96 The gray image is a code over GF(2) with n=264, k=14 and d=112. This code was found by Heurico 1.16 in 15.6 seconds.