The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 4 0 0 1 1 2 1 2 4 1 1 2 2 1 1 1 1 1 1 2 2 1 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 2 6 6 2 2 2 0 4 0 6 2 2 2 2 4 6 0 0 0 0 0 2 4 0 2 0 0 0 0 0 2 2 0 6 2 0 0 6 2 0 2 2 4 0 2 2 0 2 2 0 4 6 6 6 0 2 4 6 4 0 2 6 2 6 6 6 2 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 4 4 4 0 4 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 0 0 0 4 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 4 4 4 0 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 4 0 4 0 0 0 4 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 4 0 4 4 0 4 0 0 4 0 0 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 4 4 4 0 0 0 4 0 0 4 0 4 0 4 4 4 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 4 0 4 4 0 0 0 4 0 0 4 4 4 0 0 0 0 0 generates a code of length 41 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+138x^28+130x^30+614x^32+16x^33+838x^34+128x^35+2170x^36+704x^37+3398x^38+1920x^39+5041x^40+2656x^41+4678x^42+1920x^43+3940x^44+704x^45+1838x^46+128x^47+1079x^48+16x^49+338x^50+274x^52+42x^54+47x^56+2x^58+6x^60+2x^64 The gray image is a code over GF(2) with n=164, k=15 and d=56. This code was found by Heurico 1.16 in 27.4 seconds.