The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 2 1 1 1 1 2 1 2 2 1 1 1 0 1 1 2 2 1 0 0 1 0 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 0 1 0 0 0 0 1 0 0 1 0 3 2 2 2 1 1 0 3 0 3 0 3 0 1 2 1 1 1 0 0 1 2 2 1 1 3 1 1 1 0 1 3 1 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0 1 0 1 1 0 0 3 1 0 2 0 1 2 1 2 1 3 3 0 0 3 0 0 2 0 1 1 1 3 1 0 1 0 1 1 1 1 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 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 0 1 0 1 0 1 1 0 3 1 3 3 1 1 2 3 3 1 2 0 2 0 0 1 2 1 1 1 0 2 1 0 1 0 1 0 0 0 0 1 0 0 1 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 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 0 1 1 0 0 1 0 1 1 2 0 3 0 2 1 0 3 3 0 1 2 3 0 3 0 1 2 1 1 0 2 2 0 2 1 0 1 0 1 3 0 0 1 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 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 2 2 3 2 0 3 1 2 1 3 0 3 2 3 1 3 1 0 0 2 2 3 2 3 2 0 2 2 0 1 1 0 2 2 1 0 1 0 0 0 2 0 0 2 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 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 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 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 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 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 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 89 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+9x^40+2x^41+21x^42+51x^44+4x^45+77x^46+18x^47+107x^48+18x^49+175x^50+42x^51+213x^52+72x^53+238x^54+116x^55+392x^56+198x^57+492x^58+294x^59+483x^60+372x^61+415x^62+462x^63+423x^64+442x^65+393x^66+454x^67+225x^68+456x^69+166x^70+358x^71+115x^72+302x^73+71x^74+234x^75+56x^76+202x^77+84x^78+272x^79+239x^80+410x^81+436x^82+626x^83+752x^84+980x^85+1208x^86+1220x^87+1366x^88+1256x^89+1350x^90+1248x^91+1138x^92+976x^93+808x^94+620x^95+476x^96+410x^97+194x^98+240x^99+88x^100+216x^101+40x^102+242x^103+84x^104+342x^105+110x^106+382x^107+172x^108+396x^109+220x^110+482x^111+378x^112+476x^113+443x^114+426x^115+461x^116+338x^117+460x^118+280x^119+434x^120+200x^121+412x^122+118x^123+263x^124+98x^125+235x^126+42x^127+169x^128+24x^129+95x^130+16x^131+57x^132+2x^133+32x^134+27x^136+16x^138+9x^140+1x^142+3x^144+1x^152 The gray image is a code over GF(2) with n=178, k=15 and d=40. This code was found by Heurico 1.16 in 99.7 seconds.