The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 2 1 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 2 0 generates a code of length 34 over Z4 who´s minimum homogenous weight is 29. Homogenous weight enumerator: w(x)=1x^0+14x^29+38x^30+46x^32+70x^33+42x^37+21x^38+14x^40+2x^41+4x^46+3x^48+1x^54 The gray image is a code over GF(2) with n=68, k=8 and d=29. This code was found by Heurico 1.16 in 2.52 seconds.