The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 1 1 2 1 2 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 0 4 4 0 0 4 0 0 4 4 0 0 4 0 4 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 0 4 0 4 4 4 0 4 4 4 0 0 4 4 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 4 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 0 4 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 4 4 0 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 4 0 4 4 generates a code of length 36 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+87x^28+16x^30+183x^32+112x^34+1274x^36+112x^38+153x^40+16x^42+75x^44+14x^48+4x^52+1x^56 The gray image is a code over GF(2) with n=144, k=11 and d=56. This code was found by Heurico 1.16 in 0.198 seconds.