The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 2 1 2 1 1 2 0 1 1 1 0 0 2 0 0 1 1 1 1 0 1 1 0 1 2 1 1 1 1 1 2 1 2 0 2 0 1 1 1 0 0 1 0 0 1 1 0 2 1 2 0 0 1 2 2 1 0 0 0 1 1 2 2 1 1 2 1 0 1 0 0 1 1 1 0 0 1 3 1 1 2 0 2 0 1 3 1 3 1 1 1 2 2 1 1 0 0 1 1 3 1 2 0 1 1 3 1 3 2 0 3 3 2 0 1 3 1 2 2 1 0 0 1 0 2 1 1 1 1 1 0 1 3 2 1 1 2 2 1 0 1 1 1 0 0 2 1 3 2 0 0 0 0 1 1 1 0 1 0 1 3 0 2 3 2 1 1 1 2 3 1 2 0 3 3 0 1 1 0 1 1 3 3 1 0 3 1 2 3 1 0 0 1 2 2 3 0 2 1 2 0 1 1 2 2 3 1 1 1 1 2 1 0 1 1 1 0 1 1 0 1 1 3 2 1 1 1 3 3 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 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 0 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 generates a code of length 84 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+52x^72+46x^73+106x^74+164x^75+181x^76+188x^77+216x^78+216x^79+215x^80+206x^81+200x^82+236x^83+195x^84+202x^85+204x^86+220x^87+174x^88+222x^89+162x^90+120x^91+137x^92+116x^93+91x^94+60x^95+42x^96+38x^97+32x^98+8x^99+21x^100+6x^101+6x^102+4x^104+4x^106+2x^108+3x^110 The gray image is a code over GF(2) with n=168, k=12 and d=72. This code was found by Heurico 1.16 in 3.81 seconds.