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 X^2 1 X 0 0 X X 1 X X X 1 1 X 0 1 1 X 1 1 1 1 X^2 1 1 X 1 X X^2 1 X 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X X X 0 0 0 X^2 X^2+X X^2+X X^2 X^2 X X 0 X X^2 X X^2 X X^2+X 0 X^2 0 0 X X 0 0 X^2+X X^2+X X X^2 X 0 X X^2+X X^2+X X 0 X^2+X X^2 X^2+X 0 X^2+X 0 0 X X^2+X 0 0 0 X 0 X X X^2+X 0 0 0 X X X 0 X^2 X^2+X X 0 X^2 X^2 0 0 X^2+X X X^2+X X^2+X X^2 X^2 X^2 X^2 X X 0 0 X 0 X^2 X^2+X 0 X^2+X X X^2+X 0 X^2+X X^2+X X^2 X^2 0 X X X X^2 X 0 0 X 0 X^2 X^2+X X X^2 0 0 0 X X 0 X^2+X X X^2 X X^2 0 X X^2 X^2+X X X^2 X^2 X X^2+X X^2 X X^2 X^2 X 0 X X^2 0 X^2+X X^2 X^2 X^2+X X X^2 X^2+X X X^2+X X^2+X X^2 X X 0 X X X^2 0 X^2 X^2+X X^2+X X^2 X^2+X 0 0 0 X^2+X X^2+X X 0 X^2 X 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+68x^51+127x^52+154x^53+213x^54+240x^55+370x^56+542x^57+605x^58+652x^59+787x^60+788x^61+774x^62+746x^63+539x^64+426x^65+335x^66+254x^67+173x^68+120x^69+89x^70+78x^71+39x^72+16x^73+27x^74+10x^75+9x^76+2x^77+4x^78+2x^80+1x^82+1x^88 The gray image is a linear code over GF(2) with n=244, k=13 and d=102. This code was found by Heurico 1.16 in 5.33 seconds.