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 1 1 1 1 1 1 2 2 2 2 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 0 4 0 4 4 4 0 4 4 0 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 0 0 4 4 0 4 0 4 0 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 0 4 4 0 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 0 0 0 0 0 4 4 0 0 4 4 4 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 0 4 4 0 0 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 0 0 4 0 4 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 4 0 4 4 4 4 0 4 4 4 4 4 4 generates a code of length 38 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+101x^28+215x^32+64x^34+448x^36+2432x^38+492x^40+64x^42+147x^44+124x^48+7x^52+1x^68 The gray image is a code over GF(2) with n=152, k=12 and d=56. This code was found by Heurico 1.16 in 0.612 seconds.