The generator matrix 1 0 0 1 1 1 2 1 1 0 1 1 2 0 2 1 1 2 1 0 1 1 1 1 0 2 2 2 1 2 1 0 1 0 2 1 1 1 1 1 0 1 0 1 0 0 1 3 1 2 2 2 1 3 1 1 2 3 1 1 2 1 3 3 0 1 1 1 0 1 1 1 1 1 3 1 0 2 3 0 0 2 0 1 0 0 1 1 3 0 1 2 1 1 3 2 2 1 1 3 2 1 3 2 1 1 3 0 1 0 1 3 1 3 1 3 3 3 0 1 0 1 2 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 generates a code of length 42 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+50x^40+40x^42+22x^44+8x^46+1x^48+6x^52 The gray image is a code over GF(2) with n=84, k=7 and d=40. This code was found by Heurico 1.16 in 0.0114 seconds.