The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 4 0 2 2 1 1 0 1 1 1 1 1 1 4 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 0 4 0 0 4 4 0 0 0 4 4 2 2 6 2 6 2 2 2 2 6 6 2 2 2 4 6 6 2 4 6 4 4 2 2 6 4 0 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 2 6 6 2 6 6 2 2 0 4 6 6 2 4 0 6 0 4 0 2 6 4 6 4 2 2 4 2 4 4 2 4 0 4 6 6 4 2 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 6 2 2 2 4 4 0 6 4 4 2 6 0 2 2 4 2 0 4 0 2 0 4 2 2 4 6 0 6 6 6 0 0 6 2 6 4 0 4 0 0 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 4 2 4 0 0 6 0 6 0 0 4 6 6 6 4 6 4 2 2 2 0 6 6 2 0 4 2 0 6 4 2 2 0 4 4 0 4 4 6 0 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 4 4 6 4 2 2 6 2 2 2 6 6 6 0 4 4 6 0 4 0 2 0 4 4 2 2 4 2 6 4 2 0 0 6 0 2 2 4 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 6 2 4 4 6 6 6 4 4 0 6 0 6 0 2 6 0 0 0 4 6 6 0 0 0 6 2 2 6 6 4 6 2 4 0 2 0 6 2 6 0 generates a code of length 56 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+100x^44+148x^45+308x^46+358x^47+480x^48+590x^49+724x^50+906x^51+1279x^52+1940x^53+2947x^54+4226x^55+4622x^56+4240x^57+3048x^58+2028x^59+1332x^60+940x^61+740x^62+514x^63+397x^64+302x^65+257x^66+154x^67+105x^68+28x^69+37x^70+6x^71+4x^72+4x^73+2x^74+1x^98 The gray image is a code over GF(2) with n=224, k=15 and d=88. This code was found by Heurico 1.16 in 50.9 seconds.