The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 1 2 0 1 1 1 2 1 0 1 1 2 0 0 1 1 1 0 1 2 1 0 1 1 2 1 1 1 1 2 0 0 1 1 1 2 1 0 0 1 1 1 2 1 1 1 2 1 1 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 3 3 1 1 1 2 1 0 0 1 2 2 1 1 1 0 1 1 2 1 0 1 1 0 0 1 0 1 2 2 1 1 1 0 2 1 1 3 2 0 1 3 3 1 1 0 3 1 2 1 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 0 1 3 0 1 0 1 1 3 1 3 2 1 0 1 0 0 2 3 1 1 3 1 0 1 3 3 3 3 1 2 2 2 0 1 2 0 3 2 0 1 1 0 0 0 1 2 3 2 3 1 1 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 generates a code of length 67 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+51x^56+64x^57+135x^58+144x^59+178x^60+208x^61+218x^62+224x^63+237x^64+274x^65+239x^66+260x^67+227x^68+228x^69+220x^70+244x^71+209x^72+200x^73+138x^74+124x^75+82x^76+44x^77+55x^78+28x^79+28x^80+6x^81+15x^82+7x^84+2x^86+2x^88+1x^90+2x^92+1x^94 The gray image is a code over GF(2) with n=134, k=12 and d=56. This code was found by Heurico 1.16 in 2.78 seconds.