The generator matrix 1 0 1 1 1 2 1 1 0 1 1 2 1 1 0 1 1 2 1 1 0 1 1 2 1 1 1 1 0 2 1 1 1 1 0 2 1 1 1 1 0 2 1 1 1 1 0 2 2 2 0 1 1 1 1 0 2 2 2 0 1 1 2 2 0 1 1 0 2 2 2 0 1 1 1 1 0 2 2 2 0 1 1 1 0 1 3 2 1 1 0 3 1 2 1 1 0 3 1 2 1 1 0 3 1 2 1 1 0 2 3 1 1 1 0 2 3 1 1 1 0 2 3 1 1 1 0 2 3 1 1 1 0 2 2 0 2 3 1 1 1 0 2 2 0 2 0 2 2 3 1 1 1 0 2 2 0 2 3 1 1 1 0 2 2 0 2 0 generates a code of length 84 over Z4 who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+3x^88+8x^89+2x^90+2x^94 The gray image is a code over GF(2) with n=168, k=4 and d=88. This code was found by Heurico 1.16 in 0.103 seconds.