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 1 1 1 1 1 2 2 2 1 2 1 2 1 2 1 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 0 4 0 4 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 0 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 0 4 0 0 4 0 0 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 4 4 0 4 0 4 0 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 4 4 0 0 4 0 0 0 0 0 4 4 generates a code of length 39 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+70x^28+189x^32+48x^34+364x^36+304x^38+2048x^39+533x^40+144x^42+230x^44+16x^46+105x^48+40x^52+3x^56+1x^64 The gray image is a code over GF(2) with n=156, k=12 and d=56. This code was found by Heurico 1.16 in 0.619 seconds.