The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 0 4 0 2 1 2 1 1 2 2 0 1 2 1 0 1 4 1 0 2 1 1 1 2 4 1 2 2 1 0 1 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 4 6 2 4 6 2 6 0 4 6 2 2 0 4 0 6 2 6 2 2 2 4 4 0 2 2 2 2 0 2 2 0 4 2 2 2 4 2 6 4 2 4 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 0 2 2 0 2 4 4 2 6 0 2 2 2 2 4 6 0 2 6 4 0 2 0 4 2 4 4 2 6 2 2 4 6 2 6 2 2 0 2 0 2 0 0 0 0 4 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 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 4 4 4 0 4 0 4 0 4 0 4 4 4 0 4 0 4 4 4 4 4 4 0 4 4 0 0 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 4 4 4 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 4 4 4 4 0 4 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 0 4 4 4 4 0 0 0 4 4 4 0 4 0 4 0 4 4 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 4 0 0 4 0 4 4 4 4 4 0 4 0 4 4 4 0 0 0 4 0 4 0 4 0 0 0 4 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 4 0 4 0 0 0 0 4 0 4 4 0 4 4 4 4 0 0 0 4 4 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 4 4 0 4 4 4 0 0 0 4 0 0 4 4 0 4 4 0 0 4 4 0 0 0 generates a code of length 56 over Z8 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+59x^42+32x^43+186x^44+104x^45+308x^46+332x^47+564x^48+660x^49+1038x^50+1436x^51+1812x^52+2370x^53+2645x^54+3244x^55+3062x^56+3218x^57+2804x^58+2412x^59+1850x^60+1500x^61+997x^62+644x^63+535x^64+312x^65+250x^66+84x^67+144x^68+26x^69+79x^70+4x^71+30x^72+2x^73+9x^74+4x^75+8x^76+3x^78 The gray image is a code over GF(2) with n=224, k=15 and d=84. This code was found by Heurico 1.16 in 48.5 seconds.