The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 2 1 1 1 0 1 0 2 0 1 2 2 0 1 1 2 2 2 2 1 0 2 0 6 0 6 0 6 0 6 4 6 6 2 0 6 6 6 0 6 2 2 0 2 6 2 6 6 0 2 0 6 4 6 6 4 2 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 0 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 4 0 0 4 4 0 0 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 4 4 4 0 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 0 4 4 0 0 0 4 0 4 4 4 0 4 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 4 4 4 0 0 0 4 4 0 0 4 4 0 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 4 4 0 0 4 0 4 0 4 4 0 0 0 0 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 4 4 0 0 4 0 4 4 4 0 0 0 4 4 generates a code of length 37 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+190x^28+162x^30+641x^32+1104x^34+2065x^36+1828x^38+1322x^40+448x^42+317x^44+42x^46+66x^48+3x^52+2x^56+1x^60 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 26.1 seconds.