The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 2 0 1 1 1 1 1 1 1 0 1 1 1 2 2 0 1 0 1 0 2 2 0 1 1 1 1 0 1 0 0 0 1 2 0 2 2 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 0 1 0 0 2 1 1 0 3 1 2 3 0 3 0 2 0 1 3 2 1 0 0 1 1 1 0 0 1 2 2 1 1 2 2 1 1 1 3 1 0 1 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 1 1 0 1 0 3 2 0 1 1 0 2 3 1 2 0 2 1 3 1 1 3 2 1 3 3 2 3 2 1 0 2 0 1 1 0 0 0 0 1 2 3 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 3 3 0 2 1 3 3 2 1 2 2 0 1 0 0 3 0 0 0 1 3 3 1 1 3 2 3 2 2 1 0 2 2 0 2 1 3 2 2 2 3 1 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 3 2 1 1 0 1 0 2 1 3 1 2 2 0 1 1 2 2 0 1 2 1 0 2 1 3 0 2 1 0 2 1 1 2 1 2 1 3 1 1 1 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 2 3 1 0 0 2 0 0 3 3 3 3 0 2 2 2 0 3 3 3 3 0 2 0 3 0 1 3 0 0 0 2 1 3 0 2 1 3 1 3 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 1 1 3 1 2 2 0 3 2 3 1 0 3 2 2 0 3 0 3 3 0 3 2 3 3 2 3 1 2 2 3 3 2 0 2 2 0 3 3 1 1 1 1 3 1 1 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 0 2 2 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 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 generates a code of length 70 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+18x^39+54x^40+74x^41+109x^42+170x^43+220x^44+258x^45+323x^46+400x^47+466x^48+522x^49+543x^50+594x^51+599x^52+620x^53+667x^54+526x^55+459x^56+494x^57+424x^58+362x^59+389x^60+358x^61+476x^62+610x^63+658x^64+826x^65+886x^66+994x^67+1222x^68+1322x^69+1346x^70+1404x^71+1238x^72+1058x^73+918x^74+814x^75+706x^76+562x^77+498x^78+368x^79+339x^80+342x^81+383x^82+450x^83+485x^84+566x^85+567x^86+640x^87+677x^88+578x^89+601x^90+534x^91+454x^92+442x^93+325x^94+234x^95+180x^96+150x^97+102x^98+66x^99+36x^100+16x^101+22x^102+8x^103+6x^104+4x^105+2x^106+1x^108+2x^112 The gray image is a code over GF(2) with n=140, k=15 and d=39. This code was found by Heurico 1.16 in 99.6 seconds.