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 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 1 X 1 1 1 1 1 1 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 X X X X X X X X X X X X X X X X 0 X X X X X X X 0 X 0 X 0 X 0 X 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 X X X X X X X X X 0 X X X 0 0 0 X 0 X X 0 X 0 X 0 X X X 0 X 0 0 X X X 0 0 X X 0 X X X 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 X X X X X 0 0 0 0 0 X X X X X 0 0 X 0 0 X X X X 0 0 0 0 0 X X X X X 0 0 X 0 X X X X X X X 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 X X X X X X X X 0 X 0 X X X X X X 0 X 0 0 X X X X X X 0 X X 0 X X 0 X X 0 0 0 0 X X X X X 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 X X 0 0 X X X 0 0 X X 0 X 0 X 0 0 X X X 0 X X X X X 0 X 0 X 0 0 0 X X 0 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 0 0 X X 0 0 0 X X 0 X 0 X 0 0 X 0 0 0 X X X 0 0 X X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 X X X 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 X X X 0 0 0 X 0 X X 0 0 0 X 0 X 0 X X 0 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 X 0 X X 0 0 0 X X X X X 0 0 0 0 0 X X X X 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 X X 0 X X 0 X X 0 X X X X 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 0 X 0 X X 0 X X X 0 X 0 X 0 0 X 0 X 0 0 0 X X 0 X 0 X 0 X X X 0 X X X 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 X 0 0 X X X 0 0 X 0 X 0 0 X X 0 X 0 0 X X 0 X 0 0 0 X X X X 0 0 X 0 0 X 0 0 0 0 0 X 0 X X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X 0 X X X X X 0 X X 0 0 X X 0 0 X X X 0 X X 0 X 0 0 X X 0 X 0 0 0 X X 0 X X 0 X X 0 0 X 0 X 0 X X X 0 0 0 X X 0 generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+78x^56+53x^58+281x^60+174x^62+468x^64+344x^66+552x^68+477x^70+256x^71+653x^72+1280x^73+636x^74+2560x^75+701x^76+2560x^77+689x^78+1280x^79+591x^80+256x^81+658x^82+411x^84+540x^86+233x^88+319x^90+102x^92+160x^94+24x^96+38x^98+1x^100+7x^102+1x^142 The gray image is a linear code over GF(2) with n=152, k=14 and d=56. This code was found by Heurico 1.16 in 74.1 seconds.