The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 0 0 1 2 0 1 1 1 1 1 0 0 1 0 2 1 2 1 2 2 2 1 2 1 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 0 2 0 0 1 1 1 2 0 1 1 2 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 3 0 2 0 1 1 1 2 0 2 1 0 0 1 1 1 2 1 1 1 0 0 1 0 1 1 2 3 2 3 1 1 1 2 1 3 1 1 1 1 2 3 2 2 1 2 2 1 1 3 0 1 1 2 2 0 0 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 0 1 1 0 1 1 1 0 1 3 1 0 2 3 2 1 2 1 1 3 1 2 1 3 0 0 2 0 0 0 3 1 1 1 3 2 2 0 3 0 1 3 2 3 1 1 0 2 2 0 1 0 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 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+40x^56+160x^58+336x^60+652x^62+959x^64+1295x^66+1713x^68+2039x^70+2073x^72+1926x^74+1795x^76+1343x^78+900x^80+592x^82+303x^84+149x^86+55x^88+26x^90+13x^92+9x^94+3x^96+1x^98+1x^112 The gray image is a code over GF(2) with n=144, k=14 and d=56. This code was found by Heurico 1.16 in 46.3 seconds.