The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 0 2 1 2 1 1 2 4 0 2 1 1 4 0 2 2 1 2 0 2 0 2 0 0 2 6 0 4 2 0 6 4 6 6 4 0 6 2 6 4 2 0 6 6 2 0 6 0 6 2 4 6 0 2 0 0 0 2 2 0 6 2 0 0 2 2 4 4 6 2 0 2 2 0 0 0 6 2 2 4 4 2 2 0 6 0 2 2 4 6 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 4 0 4 4 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 0 4 4 4 4 4 0 0 4 4 0 0 0 4 0 4 4 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 4 4 0 4 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 4 0 4 0 4 0 0 4 4 0 0 4 4 4 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 0 0 4 4 0 4 0 0 4 0 0 4 0 0 4 4 4 0 0 generates a code of length 37 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+123x^28+254x^30+16x^31+651x^32+160x^33+790x^34+496x^35+1224x^36+704x^37+1192x^38+496x^39+1037x^40+160x^41+504x^42+16x^43+247x^44+74x^46+38x^48+2x^50+6x^52+1x^56 The gray image is a code over GF(2) with n=148, k=13 and d=56. This code was found by Heurico 1.16 in 1.96 seconds.