The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 X 1 1 1 1 1 1 1 X 1 1 1 1 0 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 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 1 0 0 0 0 1 0 0 1 0 X+1 0 0 0 1 1 0 X+1 0 X+1 0 1 1 X 0 X+1 1 X X 0 1 1 0 0 X+1 0 X 0 X 1 0 X 0 0 X 1 0 0 0 1 0 0 0 0 1 0 0 X 0 1 0 0 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 0 X 0 0 X 1 0 0 1 0 1 X 0 1 0 0 X 1 0 1 0 0 X 1 0 0 0 X 1 0 0 X 1 1 0 0 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 X+1 1 X+1 X 0 0 0 0 0 X+1 X 0 0 0 X X 0 0 0 0 1 X 0 0 X 1 X 0 0 0 1 1 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 X 1 0 1 1 1 0 0 0 1 1 1 X+1 0 0 X 0 1 0 X+1 X 0 1 1 0 0 1 0 0 1 1 0 0 1 X X+1 0 0 0 1 1 0 0 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 X 0 X+1 X+1 X X+1 1 0 0 1 1 0 1 1 1 0 1 1 X 0 X 0 0 X 1 1 1 X+1 0 0 1 X 1 0 X 0 1 0 X X 0 0 1 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 X 0 X X 0 0 X 0 X 0 0 X X 0 0 0 X X X 0 X X 0 X 0 0 0 0 X X 0 0 X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X 0 X 0 X 0 X X 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 0 X X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X X 0 0 X X 0 0 X 0 0 0 X 0 0 X 0 0 X X 0 0 X 0 X X 0 X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+20x^40+18x^42+14x^44+15x^46+16x^48+44x^50+104x^52+189x^54+264x^56+372x^58+528x^60+683x^62+766x^64+941x^66+967x^68+845x^70+754x^72+2x^73+604x^74+10x^75+434x^76+10x^77+276x^78+26x^79+181x^80+30x^81+83x^82+114x^83+41x^84+234x^85+24x^86+486x^87+6x^88+912x^89+2x^90+1642x^91+2132x^93+2522x^95+2674x^97+2188x^99+1586x^101+2x^102+904x^103+6x^104+470x^105+12x^106+244x^107+44x^108+114x^109+101x^110+44x^111+152x^112+24x^113+327x^114+10x^115+442x^116+4x^117+580x^118+2x^119+727x^120+860x^122+961x^124+895x^126+822x^128+691x^130+515x^132+377x^134+253x^136+145x^138+123x^140+80x^142+34x^144+17x^146+9x^148+3x^150+2x^152+2x^156+2x^158+4x^160+3x^162+1x^170 The gray image is a linear code over GF(2) with n=192, k=15 and d=40. This code was found by Heurico 1.16 in 99.4 seconds.