The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 1 2 1 1 1 2 0 1 2 2 1 1 2 2 1 4 1 1 1 1 1 1 0 2 0 0 0 2 6 2 0 0 4 2 6 6 4 6 2 4 2 0 2 6 6 4 0 2 0 6 6 0 6 6 0 6 6 2 2 0 4 0 2 0 0 0 2 0 2 2 6 0 0 0 6 6 2 4 2 2 0 2 0 2 2 4 0 4 2 6 4 6 6 6 4 0 4 4 2 0 2 0 0 2 4 0 0 0 0 2 2 0 6 2 0 6 2 0 6 4 0 6 6 0 2 2 4 0 4 6 0 4 2 2 2 0 0 6 2 2 0 4 6 6 2 6 6 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 0 0 4 4 4 4 4 0 4 0 4 0 4 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 0 4 4 4 4 0 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 4 4 0 0 0 4 0 0 0 4 4 4 4 0 0 0 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 4 0 0 4 4 4 0 0 0 4 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 0 4 4 4 0 4 4 0 0 4 0 4 4 4 4 0 4 0 4 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 4 0 4 0 4 4 4 0 4 0 0 0 0 4 4 0 4 4 4 4 4 4 4 4 0 0 generates a code of length 42 over Z8 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+40x^30+94x^31+202x^32+276x^33+387x^34+518x^35+716x^36+1250x^37+1486x^38+2440x^39+3148x^40+3480x^41+4331x^42+3678x^43+3245x^44+2620x^45+1601x^46+1238x^47+679x^48+476x^49+278x^50+202x^51+182x^52+82x^53+56x^54+20x^55+18x^56+8x^57+11x^58+2x^59+1x^60+1x^62+1x^66 The gray image is a code over GF(2) with n=168, k=15 and d=60. This code was found by Heurico 1.16 in 30.4 seconds.