The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 0 0 2 0 2 0 0 1 1 0 1 1 3 0 1 0 3 1 2 3 1 2 1 1 2 3 1 2 1 1 0 0 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 generates a code of length 34 over Z4 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+70x^32+48x^36+8x^40+1x^64 The gray image is a code over GF(2) with n=68, k=7 and d=32. This code was found by Heurico 1.16 in 0.00535 seconds.