The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 2 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 2 1 1 2 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 2 1 2 1 2 1 1 2 2 2 1 2 1 2 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 1 0 0 2 3 3 3 1 1 1 0 0 3 1 1 0 0 1 1 3 2 3 1 3 1 1 0 0 1 1 1 0 1 1 0 0 1 1 3 0 3 1 1 2 1 2 1 0 1 0 0 1 0 1 3 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 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 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 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 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 2 2 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+147x^56+14x^58+561x^60+268x^62+1253x^64+922x^66+2037x^68+1712x^70+2495x^72+1762x^74+2049x^76+1116x^78+1073x^80+310x^82+430x^84+40x^86+146x^88+42x^92+5x^96+1x^116 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 55.3 seconds.