The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 0 1 2 0 2 1 1 1 0 1 2 1 1 1 0 2 1 1 1 0 2 0 1 2 1 1 1 1 2 2 2 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 2 6 6 0 2 6 6 2 6 0 0 4 2 2 6 6 6 6 2 6 0 0 2 2 6 2 0 6 2 0 6 4 6 0 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 0 0 4 4 4 4 4 0 4 0 0 4 0 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 4 4 0 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 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 0 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 0 4 4 0 4 0 4 4 4 4 0 0 0 4 0 4 4 0 0 4 4 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 0 4 0 4 4 4 0 0 0 4 4 0 4 4 0 4 0 4 0 0 4 4 0 0 4 0 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 0 0 0 4 0 4 4 0 0 4 0 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 4 4 4 0 0 0 4 0 4 0 4 0 4 4 0 0 0 4 4 4 0 0 4 4 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 4 4 4 4 0 0 4 4 4 0 0 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 4 0 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 0 0 4 0 4 0 4 4 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 0 0 0 4 0 0 4 0 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 0 4 0 4 4 0 0 4 0 0 0 4 0 4 0 4 0 0 0 4 generates a code of length 54 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+183x^40+36x^42+629x^44+564x^46+64x^47+1860x^48+448x^49+2344x^50+1344x^51+4533x^52+2240x^53+4296x^54+2240x^55+4444x^56+1344x^57+2452x^58+448x^59+1886x^60+64x^61+516x^62+615x^64+32x^66+147x^68+33x^72+4x^76+1x^92 The gray image is a code over GF(2) with n=216, k=15 and d=80. This code was found by Heurico 1.16 in 50.9 seconds.