The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 0 1 2 1 0 1 1 2 1 1 0 0 1 1 2 2 2 0 0 1 1 2 1 0 1 0 2 1 1 0 2 1 1 0 2 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 3 1 2 1 1 2 2 1 1 2 2 1 0 0 1 1 1 3 1 3 1 3 2 2 1 1 1 1 0 1 1 0 2 0 3 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 2 1 0 0 1 0 2 0 3 3 3 2 0 1 1 1 1 1 3 0 0 0 1 0 1 1 2 0 3 0 1 1 1 1 0 2 3 2 1 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 1 0 1 3 0 0 2 1 3 2 3 3 0 2 0 2 0 0 0 0 1 1 1 1 0 1 2 0 1 3 3 3 1 0 2 0 0 2 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 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 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 2 2 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 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 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 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 2 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 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 2 0 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 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 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 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 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 41. Homogenous weight enumerator: w(x)=1x^0+12x^41+48x^42+50x^43+102x^44+102x^45+191x^46+258x^47+262x^48+320x^49+383x^50+444x^51+489x^52+532x^53+529x^54+610x^55+656x^56+658x^57+585x^58+608x^59+571x^60+626x^61+727x^62+690x^63+775x^64+894x^65+943x^66+1118x^67+1207x^68+1298x^69+1301x^70+1264x^71+1293x^72+1116x^73+1102x^74+866x^75+832x^76+692x^77+611x^78+574x^79+529x^80+640x^81+573x^82+658x^83+572x^84+604x^85+620x^86+580x^87+532x^88+480x^89+382x^90+336x^91+249x^92+176x^93+157x^94+114x^95+91x^96+38x^97+31x^98+16x^99+26x^100+2x^101+8x^102+6x^103+5x^104+2x^105+1x^106 The gray image is a code over GF(2) with n=140, k=15 and d=41. This code was found by Heurico 1.16 in 98.5 seconds.