The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 X X X 0 0 0 X X X 0 1 1 X 1 1 1 1 1 0 1 1 1 1 X X 1 0 0 0 1 1 0 X 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 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 X 0 1 X 0 X 1 0 0 1 X+1 X+1 1 X+1 X+1 X 1 0 1 X+1 1 0 1 0 0 0 0 X 1 X+1 0 0 0 X 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 1 0 0 1 0 1 1 0 1 0 1 0 0 1 X 1 1 1 1 1 X 0 X X+1 1 X X+1 1 1 1 X+1 0 1 0 0 0 0 X 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 X 0 0 0 X 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 1 0 0 X+1 X+1 X 1 1 X+1 1 1 X 1 1 1 1 0 X+1 0 X 0 X 0 X 0 0 1 0 1 1 0 X 1 1 0 0 0 0 0 1 0 0 0 0 X 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 1 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 X+1 0 X+1 0 X 1 0 1 0 X 1 0 X+1 X+1 X+1 X+1 0 0 1 0 X+1 1 X 1 1 1 1 1 1 0 0 0 0 0 0 0 0 X 0 0 0 X 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 0 X 0 X X 0 X 0 X 0 X X X X 0 0 X 0 X 0 X 0 0 X 0 X X 0 X X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 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 X 0 0 0 0 X X X 0 0 X X 0 X X 0 0 0 X X 0 0 X X 0 0 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X 0 X X 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 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X X X 0 0 X X X X X 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 0 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 X 0 X 0 0 X X X 0 0 X X 0 X 0 0 X 0 X X X X 0 0 0 X 0 X 0 X X 0 X X 0 X X X X X X X 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 X 0 X X 0 X X X 0 0 X 0 X X 0 0 X 0 X 0 X X 0 X 0 X X 0 0 0 X 0 0 X X 0 0 0 0 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 0 0 0 generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+20x^40+34x^42+58x^44+148x^46+211x^48+344x^50+562x^52+736x^54+883x^56+1046x^58+1016x^60+977x^62+817x^64+528x^66+398x^68+222x^70+121x^72+86x^74+166x^76+389x^78+757x^80+1250x^82+1856x^84+2370x^86+2594x^88+2518x^90+1950x^92+1280x^94+756x^96+314x^98+128x^100+98x^102+110x^104+222x^106+415x^108+620x^110+808x^112+892x^114+986x^116+1064x^118+865x^120+748x^122+598x^124+345x^126+210x^128+124x^130+74x^132+22x^134+23x^136+6x^138+1x^140+1x^142 The gray image is a linear code over GF(2) with n=176, k=15 and d=40. This code was found by Heurico 1.16 in 98.9 seconds.