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 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 1 1 1 1 0 2 1 1 1 1 0 2 1 1 1 1 0 2 2 2 0 1 1 0 1 1 2 1 1 0 1 1 0 3 1 0 3 1 0 1 1 2 3 1 2 3 1 2 1 1 2 1 1 0 3 1 0 3 1 0 3 1 0 3 1 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 2 2 2 2 2 2 0 0 0 0 2 3 1 1 1 0 2 3 1 1 1 0 2 3 1 1 1 0 2 2 0 3 1 2 1 1 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+14x^88+32x^90+14x^92+1x^96+2x^100 The gray image is a code over GF(2) with n=178, k=6 and d=88. This code was found by Heurico 1.16 in 0.134 seconds.