The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 2 2 2 1 1 1 2 1 2 1 1 2 0 2 1 1 1 1 1 1 1 1 2 1 1 1 2 0 0 2 1 2 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 3 0 1 2 2 0 3 1 2 0 1 1 1 0 1 0 1 1 2 1 3 3 1 2 1 2 2 1 1 0 2 1 3 0 1 0 1 0 0 1 1 0 1 1 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 2 2 2 3 1 1 3 2 0 0 0 1 2 3 0 2 2 1 2 3 0 1 2 1 0 3 2 3 2 2 3 0 3 0 3 1 1 3 0 0 3 1 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 2 1 1 0 3 0 1 0 2 2 0 1 3 2 1 1 0 2 0 3 1 3 1 0 3 3 0 3 3 0 1 0 0 3 2 3 2 2 0 0 3 0 2 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 0 1 1 1 2 2 0 1 3 2 2 1 3 2 3 3 0 2 3 0 3 2 3 2 1 2 0 1 2 0 3 1 0 3 0 1 0 3 0 1 3 3 3 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 1 1 2 0 1 3 0 2 3 0 2 2 1 2 0 3 2 1 3 3 2 2 3 3 3 0 3 1 2 1 0 0 3 1 3 2 3 2 3 0 0 3 3 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 2 0 2 2 0 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 2 2 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 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 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 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 70 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+19x^40+52x^41+92x^42+126x^43+166x^44+168x^45+271x^46+304x^47+408x^48+478x^49+505x^50+584x^51+610x^52+630x^53+566x^54+590x^55+539x^56+592x^57+502x^58+474x^59+475x^60+436x^61+575x^62+534x^63+681x^64+812x^65+995x^66+1130x^67+1158x^68+1270x^69+1284x^70+1300x^71+1165x^72+1108x^73+910x^74+826x^75+785x^76+580x^77+555x^78+462x^79+415x^80+396x^81+457x^82+528x^83+615x^84+644x^85+584x^86+616x^87+569x^88+584x^89+579x^90+524x^91+382x^92+336x^93+219x^94+160x^95+177x^96+90x^97+77x^98+30x^99+25x^100+16x^101+18x^102+2x^103+2x^104+3x^106+2x^107 The gray image is a code over GF(2) with n=140, k=15 and d=40. This code was found by Heurico 1.16 in 99.4 seconds.