The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 1 1 1 0 1 2 0 1 2 1 0 1 2 0 1 1 2 1 1 1 1 0 0 0 1 4 4 4 1 2 1 1 1 0 2 0 6 0 6 0 6 0 6 4 6 0 6 0 6 2 0 6 4 6 6 2 6 6 0 0 2 4 6 2 4 6 4 2 6 6 2 4 0 6 2 2 6 0 2 2 2 6 4 0 4 0 6 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 4 4 0 4 4 4 0 4 4 4 0 0 4 4 0 4 4 0 0 0 0 4 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 0 4 4 0 4 4 4 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 4 4 0 4 4 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 0 4 0 4 0 0 0 0 4 4 4 4 0 4 4 0 0 4 4 0 0 0 0 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 0 0 4 4 0 4 0 0 0 0 4 0 0 4 0 4 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 4 0 4 4 4 0 0 4 4 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 0 4 0 4 0 0 0 0 0 4 4 0 4 0 4 4 0 0 4 4 4 0 0 4 0 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 4 4 0 0 4 4 0 4 0 4 0 4 4 4 0 0 4 4 4 0 0 0 4 4 4 4 0 0 4 4 0 4 4 0 4 4 0 0 0 0 generates a code of length 57 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+60x^44+51x^46+22x^47+140x^48+130x^49+209x^50+214x^51+367x^52+574x^53+521x^54+636x^55+720x^56+852x^57+725x^58+844x^59+511x^60+412x^61+355x^62+302x^63+179x^64+74x^65+107x^66+30x^67+53x^68+6x^69+59x^70+16x^72+15x^74+1x^76+6x^78 The gray image is a code over GF(2) with n=228, k=13 and d=88. This code was found by Heurico 1.16 in 4.01 seconds.