The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 X X X 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 X 1 0 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 0 1 0 0 0 1 0 0 1 1 X 1 0 1 X 1 0 1 0 0 X 1 0 X+1 1 0 0 1 1 1 1 X+1 0 X 1 1 0 0 0 1 X X 0 X+1 X 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 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 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 X+1 0 0 0 1 1 0 X 1 0 0 0 0 X 0 0 X 0 0 0 X 0 0 0 X 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 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 X 0 0 0 0 X 1 1 1 1 X 0 0 1 1 0 1 0 1 0 X+1 1 0 0 0 1 0 X 1 X 0 0 X X 0 0 0 0 0 X X 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 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 X 1 X+1 0 1 X+1 0 X+1 0 1 X X+1 X 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 X+1 0 1 X 0 0 X 0 0 0 X 0 X X 0 0 X X 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 X 0 0 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 0 0 X X 0 X 0 0 X 0 X X 0 0 0 X X 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 X 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 0 X 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 X 0 X X X 0 0 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 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 X 0 X 0 X 0 X 0 0 0 0 X 0 X X X X X 0 0 0 0 X X 0 0 0 X X 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 0 0 X X 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 X 0 X 0 0 X 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 0 0 0 0 0 0 X 0 X 0 X X 0 X X 0 0 X 0 X 0 0 0 0 X X X 0 X 0 0 X X X X 0 0 0 X 0 X X 0 X 0 X X X X 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 0 0 generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+22x^40+24x^42+65x^44+47x^46+169x^48+144x^50+329x^52+376x^54+594x^56+616x^58+823x^60+779x^62+930x^64+765x^66+710x^68+640x^70+400x^72+2x^73+298x^74+218x^76+4x^77+120x^78+28x^79+74x^80+54x^81+25x^82+200x^83+15x^84+466x^85+6x^86+890x^87+2x^88+1590x^89+2250x^91+2626x^93+2736x^95+2364x^97+2x^98+1542x^99+4x^100+902x^101+490x^103+2x^104+156x^105+24x^106+54x^107+62x^108+18x^109+147x^110+212x^112+10x^113+332x^114+2x^115+458x^116+548x^118+734x^120+754x^122+907x^124+777x^126+809x^128+659x^130+567x^132+365x^134+381x^136+149x^138+147x^140+54x^142+51x^144+13x^146+15x^148+11x^150+3x^152+1x^154+2x^158+2x^162 The gray image is a linear code over GF(2) with n=188, k=15 and d=40. This code was found by Heurico 1.16 in 99.7 seconds.