The generator matrix 1 0 1 1 1 0 1 1 0 4 1 1 1 1 6 1 1 0 4 0 1 4 1 6 1 4 1 0 1 1 4 1 2 1 6 2 4 0 4 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 7 1 1 0 7 5 1 1 2 0 2 2 1 2 1 4 1 5 1 0 1 1 3 2 1 1 0 1 2 2 1 1 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 4 6 2 6 4 6 6 4 0 0 0 0 6 6 4 6 2 2 6 6 0 2 4 4 4 2 4 4 2 4 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 4 0 2 6 0 2 0 4 2 6 6 6 6 0 4 4 2 6 0 4 4 4 4 6 6 6 0 0 2 4 2 4 0 4 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 6 6 0 0 4 6 4 6 4 6 4 6 6 4 0 2 4 6 2 4 4 2 0 4 4 2 2 0 2 4 0 2 4 4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 4 4 2 0 0 6 2 2 0 6 2 2 4 6 0 4 0 2 4 2 4 0 4 2 4 2 2 2 0 2 6 0 2 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 4 2 4 6 2 4 4 2 2 6 2 0 6 6 0 4 0 2 6 2 0 0 6 0 6 4 2 0 0 0 4 0 0 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 56 over Z8 who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+40x^33+83x^34+92x^35+165x^36+232x^37+306x^38+460x^39+621x^40+780x^41+823x^42+910x^43+955x^44+812x^45+707x^46+652x^47+678x^48+868x^49+1244x^50+1862x^51+2722x^52+3902x^53+4955x^54+5794x^55+6140x^56+5716x^57+5142x^58+3932x^59+2713x^60+1932x^61+1196x^62+836x^63+647x^64+552x^65+714x^66+858x^67+916x^68+942x^69+852x^70+768x^71+661x^72+476x^73+293x^74+248x^75+141x^76+60x^77+60x^78+34x^79+23x^80+8x^81+8x^82+2x^83+1x^88+1x^90 The gray image is a code over GF(2) with n=224, k=16 and d=66. This code was found by Heurico 1.16 in 99.3 seconds.