The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 2 1 1 X 1 1 X+2 0 1 1 0 1 1 1 X+2 1 1 X 1 1 0 1 2 1 1 1 X 1 1 1 1 1 1 X X+2 X+2 1 0 1 0 X+2 1 1 1 1 X+2 1 0 X 1 1 1 1 1 0 1 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 0 X+1 1 2 X+1 1 X 3 1 X+2 1 1 1 0 X+3 1 2 3 X+3 1 X+1 X+2 1 X 1 1 2 1 0 1 X+1 1 X+2 X+1 1 X+1 X 1 1 1 1 0 1 X 1 1 1 X 2 2 1 3 X 1 0 X X+1 X+1 X+3 0 2 0 0 0 X X+2 0 X+2 X X+2 X 0 2 0 2 0 0 X X+2 X+2 X 0 X 2 X 2 2 0 X+2 X X+2 0 X 0 2 2 X+2 X X 2 X X 0 2 0 0 X 2 X 2 0 X X+2 0 2 0 0 X+2 2 X+2 2 X+2 2 X+2 0 0 X 2 0 X+2 X+2 X+2 X X X+2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+19x^62+50x^63+122x^64+142x^65+339x^66+304x^67+699x^68+592x^69+1257x^70+900x^71+1766x^72+1096x^73+1956x^74+1164x^75+1723x^76+852x^77+1192x^78+502x^79+686x^80+322x^81+301x^82+132x^83+81x^84+60x^85+37x^86+20x^87+30x^88+8x^89+10x^90+9x^92+7x^94+3x^96+2x^98 The gray image is a code over GF(2) with n=296, k=14 and d=124. This code was found by Heurico 1.16 in 17.9 seconds.