The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 2 0 0 0 2 1 1 2 2 1 1 1 1 1 0 1 1 2 1 0 1 1 2 2 2 0 1 1 1 0 0 1 1 2 1 2 0 1 0 1 0 1 0 0 2 1 1 0 2 2 1 2 1 1 0 1 2 0 0 1 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 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 1 1 3 3 1 1 1 1 3 3 3 1 1 3 1 1 3 1 1 1 1 3 0 3 1 1 1 1 3 1 2 1 0 1 0 3 1 2 1 2 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 0 3 1 1 2 1 0 1 1 3 3 2 2 0 0 1 3 0 1 1 0 1 0 2 0 1 0 2 1 2 3 1 2 0 3 1 3 1 2 3 0 3 0 3 1 2 2 2 3 3 0 1 2 0 1 3 1 1 3 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 2 2 1 3 2 0 0 3 1 2 3 0 3 1 1 2 0 3 0 0 2 2 1 2 3 3 3 0 2 1 0 1 2 3 1 3 2 0 3 2 2 3 3 3 1 3 3 1 1 0 0 2 2 0 1 0 0 2 1 2 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 2 3 1 3 3 1 2 1 2 2 1 2 2 3 3 0 3 2 0 1 0 2 0 1 3 3 0 0 2 1 2 0 3 0 1 1 1 3 1 0 2 2 0 3 3 0 0 3 0 3 1 2 1 1 1 0 0 0 2 0 0 0 2 0 0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 3 1 3 2 3 0 0 0 3 3 3 2 3 3 2 1 1 2 0 2 2 3 3 1 0 0 1 3 3 1 1 3 0 0 2 1 1 3 1 3 0 0 2 3 2 2 2 3 3 2 0 0 2 0 0 0 0 0 1 1 1 3 3 0 0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 2 3 1 1 2 1 1 0 3 3 3 3 1 1 2 0 1 1 0 0 3 1 1 1 1 2 3 0 0 0 1 1 2 3 0 3 0 2 1 0 0 0 3 2 1 1 2 0 1 2 2 3 2 0 2 3 1 1 1 2 0 2 3 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 generates a code of length 84 over Z4 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+104x^69+215x^70+342x^71+502x^72+600x^73+761x^74+940x^75+1049x^76+1200x^77+1370x^78+1356x^79+1572x^80+1712x^81+1729x^82+1866x^83+1921x^84+1930x^85+1816x^86+1714x^87+1646x^88+1608x^89+1388x^90+1164x^91+1017x^92+876x^93+688x^94+540x^95+393x^96+240x^97+192x^98+126x^99+85x^100+50x^101+31x^102+16x^103+6x^104+1x^106+1x^146 The gray image is a code over GF(2) with n=168, k=15 and d=69. This code was found by Heurico 1.10 in 178 seconds.