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 1 1 1 1 1 1 1 1 1 0 0 X^2 0 X X X^2 X 0 1 0 1 1 1 1 1 1 X 1 0 1 X 0 1 X X^2 1 1 0 X 0 0 0 0 0 0 0 X^2+X X X X X X^2 X^2 0 X X^2 X^2+X X 0 X^2 X^2 X 0 X X^2+X X^2 X^2+X 0 X X^2+X X^2+X X^2 X^2 X^2 X X 0 0 X^2+X X^2 X^2 X X X X 0 X 0 X X^2+X X^2 X X^2+X X X^2+X 0 X^2 0 0 0 0 X 0 0 0 X X^2+X X X^2 X X^2+X 0 0 X X^2+X X^2+X X^2+X 0 X^2 X X^2+X X^2+X X^2+X X X^2 X^2+X X X^2+X 0 0 X^2 X X^2+X X 0 X X X X^2 0 X^2 0 0 X^2 X^2+X X^2+X 0 X^2+X 0 0 X^2 X^2 X X^2 0 0 X X^2+X X X^2 0 0 0 0 X 0 X X X 0 X^2+X X^2 X X^2+X 0 X X^2+X 0 0 X^2+X X X^2 X X^2 0 X^2 0 X X 0 X 0 0 X^2 X^2+X X^2 0 X^2+X 0 0 X^2 X 0 X X X^2+X X^2 X^2+X X^2 X^2+X X^2+X 0 0 X^2 X 0 X^2+X X^2 X X^2+X X^2 X^2+X X^2 0 0 0 0 X X 0 X X^2+X X 0 X X^2 X^2+X X^2+X 0 X X^2+X X^2 X^2 0 X^2+X 0 X 0 X X^2+X 0 X^2 X^2+X X^2 X^2 X X^2+X 0 X 0 X X^2 X^2+X X^2 X X^2 X X^2 X^2+X X^2 0 X^2 X X X^2 X 0 X^2 X^2 X^2 X^2+X X^2+X X^2+X X X 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+49x^52+160x^53+147x^54+154x^55+298x^56+420x^57+554x^58+550x^59+590x^60+762x^61+856x^62+840x^63+672x^64+530x^65+472x^66+326x^67+207x^68+198x^69+115x^70+100x^71+84x^72+34x^73+30x^74+12x^75+17x^76+8x^77+2x^78+2x^79+1x^80+1x^92 The gray image is a linear code over GF(2) with n=248, k=13 and d=104. This code was found by Heurico 1.16 in 5.35 seconds.