The generator matrix 1 0 0 0 0 0 1 1 1 2 1 2 1 1 2 0 1 1 1 1 2 1 2 1 1 0 2 1 0 1 0 0 2 1 0 2 0 0 1 1 1 2 0 1 1 0 0 1 1 2 1 2 1 0 2 0 1 2 0 0 1 1 2 0 0 2 0 0 2 1 1 1 2 2 0 2 1 1 1 1 2 0 1 1 0 1 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 1 1 1 1 1 1 3 3 1 1 1 1 3 1 1 1 0 0 1 2 1 3 1 2 2 1 3 0 2 0 3 3 0 2 0 1 1 1 1 1 1 0 2 2 2 1 1 1 1 1 1 1 2 3 3 0 0 1 1 2 2 0 0 2 1 2 1 0 0 1 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 1 1 1 3 1 1 3 1 1 1 3 1 1 3 3 1 3 1 2 1 0 1 1 3 1 1 1 2 3 1 1 3 3 2 3 2 1 1 1 2 3 1 2 1 1 1 2 1 0 3 0 0 0 1 0 0 0 1 1 1 2 1 0 3 2 1 1 2 3 0 0 1 3 2 2 2 1 1 0 1 1 3 0 2 1 3 2 1 2 2 2 0 1 3 0 1 0 0 3 1 3 2 2 3 2 3 0 2 2 0 0 3 2 0 1 1 3 2 3 2 0 1 1 1 3 3 0 0 0 3 1 2 1 0 0 0 0 0 1 0 1 2 3 3 3 1 0 3 1 2 0 1 0 2 1 1 2 0 1 2 2 3 1 2 3 3 2 2 0 3 1 2 0 3 3 1 3 1 2 3 2 2 0 0 2 1 2 2 1 3 3 2 1 0 2 3 0 0 1 0 2 0 0 0 3 0 3 2 3 3 3 1 1 0 2 0 3 3 0 0 0 0 0 1 2 0 0 2 1 1 1 3 3 3 3 0 2 1 0 3 1 0 3 3 0 2 1 1 1 2 0 3 2 3 0 1 3 3 2 1 2 1 0 0 1 2 3 0 3 1 2 3 1 0 2 1 0 0 1 1 3 3 1 2 2 2 0 0 1 1 3 2 0 0 2 2 0 0 0 0 2 0 generates a code of length 84 over Z4 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+224x^74+388x^76+432x^78+467x^80+458x^82+444x^84+368x^86+356x^88+284x^90+260x^92+200x^94+110x^96+74x^98+20x^100+8x^102+2x^104 The gray image is a code over GF(2) with n=168, k=12 and d=74. This code was found by Heurico 1.10 in 4.23 seconds.