The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 2 1 1 0 0 1 1 2 1 0 0 1 0 1 1 1 0 1 2 1 1 2 1 2 1 1 2 1 2 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 0 3 1 0 3 1 1 1 1 2 3 1 0 1 2 1 0 1 1 0 1 3 2 0 0 0 2 1 0 1 1 3 2 1 0 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 0 2 3 1 3 3 3 2 0 1 3 1 1 2 0 1 2 2 2 1 3 1 1 2 3 1 0 1 3 3 2 3 3 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+80x^44+44x^45+142x^46+172x^47+305x^48+290x^49+324x^50+390x^51+432x^52+518x^53+504x^54+590x^55+535x^56+636x^57+533x^58+596x^59+426x^60+416x^61+351x^62+256x^63+206x^64+130x^65+142x^66+38x^67+52x^68+14x^69+38x^70+6x^71+9x^72+9x^74+2x^76+5x^78 The gray image is a code over GF(2) with n=112, k=13 and d=44. This code was found by Heurico 1.16 in 8.68 seconds.