The generator matrix 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 2 2 1 0 2 2 2 1 0 2 1 1 1 1 2 2 1 0 1 1 0 0 0 1 2 1 1 1 2 0 2 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 2 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 1 1 1 3 2 2 1 3 1 0 0 2 3 2 3 1 2 0 1 2 0 1 2 0 1 1 0 1 0 0 1 1 2 1 3 0 0 1 3 0 2 1 3 3 0 2 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 3 1 2 1 3 3 0 2 3 3 1 0 0 1 2 3 2 1 0 0 1 1 1 1 0 2 1 2 1 3 2 0 1 3 0 2 3 2 0 0 2 3 0 1 2 2 1 2 0 2 1 0 1 3 1 1 0 0 0 0 0 1 0 0 0 0 1 1 3 1 2 0 3 0 3 1 3 1 3 0 0 0 1 2 1 2 1 3 1 1 0 2 2 0 2 2 0 2 0 0 1 3 0 2 0 3 2 2 3 0 3 3 2 3 1 1 0 2 0 0 0 0 3 1 0 2 1 1 0 0 0 0 0 0 1 0 0 1 0 1 2 1 0 1 3 3 0 3 0 2 0 2 0 0 2 1 2 3 1 2 1 2 1 1 1 2 1 0 0 2 0 3 0 0 1 1 3 1 2 0 1 2 1 3 0 3 0 1 0 2 3 3 3 2 1 3 3 2 3 3 0 0 0 0 0 0 0 1 0 1 0 2 1 3 0 1 3 3 2 1 1 1 3 3 1 3 2 3 3 2 1 3 0 1 2 1 1 0 3 1 3 3 0 3 0 3 2 3 0 0 3 1 2 0 0 0 0 3 3 2 2 0 1 0 2 1 0 0 2 3 3 0 0 0 0 0 0 0 0 0 1 1 3 2 0 1 1 2 1 1 1 2 2 1 2 3 0 3 1 0 3 1 3 0 1 3 0 1 2 3 0 3 0 3 3 2 1 2 0 3 2 2 3 3 3 3 1 0 1 2 2 1 2 3 1 2 1 3 3 1 3 2 3 1 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+66x^56+352x^58+844x^60+1404x^62+2006x^64+2450x^66+3296x^68+3856x^70+4051x^72+3932x^74+3419x^76+2784x^78+1914x^80+1094x^82+742x^84+332x^86+158x^88+44x^90+11x^92+8x^94+3x^96+1x^104 The gray image is a code over GF(2) with n=144, k=15 and d=56. This code was found by Heurico 1.10 in 117 seconds.