The generator matrix 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 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 0 0 0 1 1 0 2 0 2 1 0 0 1 0 2 1 1 2 1 1 1 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 0 0 generates a code of length 88 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+39x^70+120x^72+2x^73+182x^74+8x^75+220x^76+56x^77+240x^78+130x^79+280x^80+252x^81+264x^82+408x^83+260x^84+542x^85+323x^86+664x^87+288x^88+618x^89+306x^90+530x^91+297x^92+452x^93+272x^94+258x^95+259x^96+120x^97+195x^98+44x^99+179x^100+6x^101+133x^102+4x^103+100x^104+72x^106+2x^107+35x^108+16x^110+8x^112+4x^114+1x^116+1x^118+1x^130 The gray image is a code over GF(2) with n=176, k=13 and d=70. This code was found by Heurico 1.16 in 47.7 seconds.