The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2 2 1 1 1 2 2 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 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 4 4 0 0 4 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 0 4 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 4 0 4 4 0 0 0 4 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 4 0 4 4 4 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 0 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 4 4 0 4 0 0 0 4 4 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 4 0 0 0 4 4 4 4 4 generates a code of length 36 over Z8 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+199x^24+502x^28+128x^30+1269x^32+896x^34+10336x^36+896x^38+1390x^40+128x^42+464x^44+146x^48+24x^52+3x^56+2x^60 The gray image is a code over GF(2) with n=144, k=14 and d=48. This code was found by Heurico 1.16 in 7.46 seconds.