The generator matrix 1 0 0 0 0 1 1 1 4 1 1 2 0 6 1 1 1 1 4 2 0 0 1 1 1 4 6 1 1 1 1 0 6 6 1 1 0 1 0 0 0 0 0 0 0 4 4 4 4 4 4 1 1 5 1 1 1 2 2 1 1 1 1 3 6 2 7 6 1 6 7 6 0 0 1 0 0 1 4 5 1 0 1 1 2 1 0 4 6 3 7 5 0 1 3 5 7 1 6 0 5 7 7 1 3 6 3 4 0 0 0 1 0 1 5 2 5 3 7 0 1 2 4 4 0 3 1 4 5 7 2 2 3 3 6 3 1 6 0 5 0 1 1 2 0 0 0 0 1 4 1 5 5 2 3 1 3 7 1 7 2 0 7 0 2 2 6 0 1 0 5 4 6 4 1 1 7 3 3 7 generates a code of length 36 over Z8 who´s minimum homogenous weight is 29. Homogenous weight enumerator: w(x)=1x^0+346x^29+665x^30+1346x^31+1861x^32+2764x^33+3117x^34+4238x^35+3956x^36+4238x^37+3383x^38+2866x^39+1784x^40+1280x^41+499x^42+276x^43+76x^44+44x^45+12x^46+8x^47+2x^48+4x^50+2x^51 The gray image is a code over GF(2) with n=144, k=15 and d=58. This code was found by Heurico 1.11 in 9.31 seconds.