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 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 2 generates a code of length 87 over Z4 who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+6x^86+32x^87+9x^88+9x^90+6x^92+1x^114 The gray image is a code over GF(2) with n=174, k=6 and d=86. This code was found by Heurico 1.16 in 0.157 seconds.