The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 0 2 1 0 0 1 1 1 1 0 1 1 2 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 2 3 1 0 0 1 3 2 2 3 1 2 1 1 1 2 2 0 0 2 2 3 3 1 3 1 2 1 2 0 1 0 0 1 0 0 0 0 0 0 0 2 1 3 3 2 1 1 0 2 3 2 3 3 3 2 0 1 0 1 1 2 0 2 3 0 2 0 1 1 1 1 0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 1 3 3 1 2 1 3 3 3 0 2 1 2 3 2 2 1 2 2 1 1 0 1 2 2 0 0 0 0 0 1 0 1 3 2 3 0 0 0 0 2 1 1 0 1 2 3 2 3 0 1 3 0 0 0 1 3 1 1 2 2 1 2 3 0 2 3 2 0 0 0 0 0 1 2 1 3 3 1 3 2 3 1 3 1 1 3 1 3 3 3 1 2 1 3 0 0 1 0 3 0 2 1 2 1 3 2 2 2 0 generates a code of length 42 over Z4 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+186x^34+481x^36+538x^38+560x^40+604x^42+595x^44+510x^46+364x^48+166x^50+76x^52+12x^54+3x^56 The gray image is a code over GF(2) with n=84, k=12 and d=34. This code was found by Heurico 1.10 in 0.562 seconds.