The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 0 2 1 1 1 1 1 0 1 0 1 1 2 1 1 0 0 2 1 1 1 1 0 2 1 1 2 1 1 2 0 1 1 2 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 3 1 0 0 3 1 1 3 3 3 0 0 1 0 1 3 0 1 2 1 1 1 1 0 3 0 1 1 1 3 2 1 3 1 1 1 3 3 0 3 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 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 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 2 generates a code of length 56 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+38x^44+12x^45+99x^46+54x^47+129x^48+128x^49+180x^50+200x^51+220x^52+266x^53+241x^54+340x^55+267x^56+360x^57+241x^58+312x^59+205x^60+216x^61+170x^62+102x^63+115x^64+40x^65+70x^66+16x^67+30x^68+2x^69+17x^70+15x^72+5x^74+3x^76+1x^78+1x^80 The gray image is a code over GF(2) with n=112, k=12 and d=44. This code was found by Heurico 1.16 in 2.46 seconds.