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 1 1 1 0 4 2 0 1 2 0 1 1 1 0 2 0 0 0 2 6 2 0 4 0 2 0 6 2 4 2 0 2 4 6 2 4 6 2 2 0 2 2 0 0 6 4 0 4 6 0 0 2 0 2 2 6 0 0 0 2 4 2 2 4 6 2 4 4 0 2 2 4 6 2 4 4 4 6 4 6 2 2 4 6 0 0 0 0 2 2 0 6 2 0 2 4 0 6 2 2 4 0 4 4 6 2 0 2 2 4 4 2 6 4 2 4 2 4 2 2 4 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 4 4 4 0 4 0 0 4 4 4 4 0 0 0 0 4 0 4 0 0 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 0 0 0 0 0 4 0 0 4 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 0 4 0 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+178x^28+358x^30+32x^31+593x^32+224x^33+1094x^34+768x^35+1661x^36+768x^37+1146x^38+224x^39+630x^40+32x^41+322x^42+119x^44+24x^46+16x^48+1x^52+1x^60 The gray image is a code over GF(2) with n=144, k=13 and d=56. This code was found by Heurico 1.16 in 1.89 seconds.