The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 2 2 0 1 1 0 1 1 0 0 1 2 0 2 0 0 1 1 1 2 1 1 1 2 1 1 1 0 1 1 1 2 1 1 1 1 1 2 1 0 1 0 1 2 0 1 1 1 0 2 2 0 2 1 2 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 3 0 1 2 1 3 2 0 2 1 3 1 2 1 2 1 2 0 2 1 0 1 2 3 1 1 1 2 1 0 0 0 1 2 1 0 1 1 1 2 0 2 1 1 1 3 1 0 0 0 1 0 3 0 1 1 0 2 1 0 2 1 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 3 1 1 3 1 1 1 1 1 1 2 1 3 2 1 1 1 1 0 2 1 3 0 2 3 2 2 1 3 0 3 3 2 3 1 0 2 2 1 1 1 1 2 3 2 1 1 3 2 1 2 0 3 1 1 0 1 2 0 1 0 0 0 0 1 0 0 0 1 1 1 1 3 2 2 2 0 3 1 1 0 0 0 3 2 0 0 1 0 1 2 1 3 0 0 1 1 1 2 1 3 3 3 0 2 1 3 0 1 2 0 0 0 1 3 2 1 2 1 2 2 0 3 0 0 0 0 0 2 2 3 3 1 2 0 2 1 2 3 1 2 2 3 2 3 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 2 3 3 2 1 3 0 3 2 2 1 1 0 1 0 3 1 0 0 2 0 0 1 3 0 1 2 0 1 0 2 3 1 2 2 1 3 2 2 1 1 0 0 1 1 2 2 0 3 2 2 0 0 1 2 3 0 2 2 0 3 1 2 0 3 0 0 3 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 2 3 3 0 1 0 1 2 2 3 2 1 3 1 0 1 2 3 3 0 0 0 1 0 1 1 0 1 2 0 2 0 3 0 0 2 0 1 0 1 0 1 1 3 1 2 2 1 3 1 2 0 1 1 0 1 0 3 3 2 3 0 2 0 1 1 2 3 3 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 0 2 0 generates a code of length 84 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+68x^70+114x^71+262x^72+328x^73+423x^74+472x^75+571x^76+748x^77+656x^78+724x^79+825x^80+888x^81+834x^82+806x^83+903x^84+920x^85+912x^86+910x^87+797x^88+772x^89+711x^90+598x^91+477x^92+390x^93+372x^94+290x^95+218x^96+146x^97+104x^98+52x^99+39x^100+30x^101+16x^102+2x^103+1x^104+2x^105+1x^108+1x^124 The gray image is a code over GF(2) with n=168, k=14 and d=70. This code was found by Heurico 1.16 in 99.2 seconds.