The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 2 2 4 1 0 1 0 2 2 1 4 0 1 1 1 0 2 4 1 2 1 0 1 1 1 0 2 1 2 1 2 1 1 1 0 2 0 0 0 2 6 2 0 0 0 0 2 2 2 6 4 2 0 4 0 2 2 6 4 4 2 4 6 2 2 2 4 2 4 2 2 2 2 4 4 2 6 4 6 2 4 4 0 6 6 4 6 0 0 0 2 0 2 2 6 0 0 0 2 6 6 6 4 0 2 2 2 6 6 0 2 2 0 4 4 4 6 4 4 0 4 0 2 0 2 4 4 2 4 6 0 6 4 4 0 0 2 0 2 6 4 2 0 0 0 2 2 0 6 2 0 6 2 4 0 2 6 0 4 0 2 2 0 2 4 2 2 6 0 6 6 6 2 0 4 4 0 4 0 6 0 0 0 0 4 4 4 4 6 6 6 0 0 4 6 2 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 4 4 0 0 4 0 4 0 4 0 4 0 4 0 0 4 0 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 0 4 0 4 0 4 0 4 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 4 0 0 4 4 4 4 4 4 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 0 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 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 0 4 4 0 0 4 4 4 0 0 4 0 0 4 4 4 0 0 4 4 4 0 4 4 0 4 0 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 0 4 0 4 0 0 0 4 0 4 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 0 4 4 0 4 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+16x^41+115x^42+172x^43+266x^44+358x^45+480x^46+684x^47+1054x^48+1306x^49+1822x^50+2400x^51+2761x^52+3214x^53+3322x^54+3242x^55+2858x^56+2492x^57+1897x^58+1332x^59+985x^60+682x^61+457x^62+312x^63+209x^64+106x^65+84x^66+48x^67+51x^68+18x^69+12x^70+2x^71+6x^72+2x^74+1x^76+1x^78 The gray image is a code over GF(2) with n=216, k=15 and d=82. This code was found by Heurico 1.16 in 46.1 seconds.