The generator matrix 1 0 0 0 0 0 0 0 1 1 1 2 1 1 2 1 1 2 2 1 0 1 0 1 1 2 0 0 0 0 0 1 2 0 1 1 2 2 1 1 1 1 1 1 1 1 1 2 1 1 0 0 1 1 0 1 2 1 1 2 0 1 0 1 2 1 0 2 1 1 1 1 1 1 1 0 1 1 2 1 2 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 1 1 1 3 1 1 0 2 1 2 3 2 2 0 1 2 2 3 2 0 2 1 0 3 0 1 0 3 1 1 1 1 1 1 1 1 1 1 0 1 0 1 3 0 3 1 2 0 1 1 0 0 0 2 1 0 2 1 3 1 0 0 0 0 0 1 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 0 2 1 1 1 1 1 1 1 3 3 1 3 3 3 1 1 1 3 3 0 3 3 1 1 1 1 2 1 1 2 0 1 1 1 1 3 1 2 3 0 1 1 0 2 2 2 0 3 1 2 2 0 0 0 0 0 1 0 0 0 0 0 1 3 1 2 1 1 2 1 0 1 0 1 3 1 0 2 0 2 1 1 0 1 2 1 1 3 2 0 1 3 1 0 3 3 0 0 3 3 0 1 1 2 0 1 0 0 2 3 1 2 0 1 3 2 3 3 2 0 1 3 2 0 0 1 2 3 1 3 1 1 2 2 1 0 0 0 0 0 0 1 0 0 0 1 0 3 3 0 2 2 1 3 1 3 2 1 0 0 1 2 1 3 0 2 2 3 2 0 2 1 2 2 3 3 3 0 1 2 3 1 2 3 1 1 3 0 2 0 3 1 0 1 1 1 0 3 3 3 1 3 2 2 2 2 0 1 2 0 2 1 2 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 0 1 0 2 3 3 2 0 3 0 3 0 3 0 1 1 2 0 2 3 0 1 1 1 2 1 2 2 1 2 2 2 1 3 1 0 1 0 3 0 3 2 1 2 0 2 0 1 2 1 0 3 0 2 3 1 2 2 1 0 0 0 3 1 2 2 1 0 3 2 0 0 0 0 0 0 0 0 1 0 1 3 2 1 1 2 3 3 1 1 2 1 1 0 0 2 0 0 1 0 3 3 2 1 3 2 0 1 3 2 3 0 1 3 0 1 0 1 2 1 2 3 2 0 3 3 0 0 2 2 1 1 3 2 1 1 3 1 2 1 3 3 0 1 0 0 3 2 1 2 1 3 3 1 0 0 0 0 0 0 0 0 0 1 2 2 1 1 3 3 1 1 3 3 0 0 2 1 2 2 3 1 0 3 3 3 3 1 2 2 1 2 2 0 2 0 0 0 0 3 3 2 2 0 1 3 0 0 1 1 1 0 0 3 2 1 2 0 3 3 3 3 2 1 0 3 0 3 3 0 0 3 3 1 0 2 0 2 0 0 generates a code of length 84 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+96x^66+465x^68+1088x^70+1885x^72+2744x^74+3937x^76+5036x^78+6254x^80+7040x^82+7748x^84+7542x^86+6547x^88+5468x^90+3975x^92+2522x^94+1533x^96+858x^98+461x^100+210x^102+75x^104+32x^106+14x^108+2x^110+2x^114+1x^120 The gray image is a code over GF(2) with n=168, k=16 and d=66. This code was found by Heurico 1.10 in 319 seconds.