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 1 1 X+2 1 0 1 1 1 X+2 1 X+2 1 1 0 0 X+2 1 1 1 X+2 1 1 1 0 1 1 1 1 0 1 1 1 1 X+2 2 1 1 2 X 1 1 1 X X 0 X 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 0 1 X+1 X+2 3 1 0 1 X+1 3 X+2 1 3 1 X+2 3 1 1 1 X+1 0 X+1 1 3 2 X+2 1 X+1 X+2 X+1 X+3 1 3 X 0 1 1 1 X+3 0 1 1 3 X+3 X+3 1 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 2 2 0 2 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 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 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+72x^56+38x^58+24x^59+357x^60+184x^61+312x^62+472x^63+954x^64+992x^65+938x^66+1552x^67+1437x^68+1744x^69+1424x^70+1552x^71+1121x^72+992x^73+714x^74+472x^75+440x^76+184x^77+152x^78+24x^79+146x^80+6x^82+49x^84+25x^88+5x^92+1x^96 The gray image is a code over GF(2) with n=276, k=14 and d=112. This code was found by Heurico 1.16 in 16.1 seconds.