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 2 0 4 2 2 0 2 1 1 0 1 4 2 0 2 0 0 0 0 0 0 0 2 2 6 2 4 4 0 6 2 2 0 4 4 4 6 4 2 2 2 2 0 6 6 2 0 2 6 0 0 2 0 0 0 2 6 2 4 2 2 0 0 6 0 6 2 4 2 6 6 2 0 2 0 6 6 6 4 6 2 4 4 6 0 0 0 0 2 0 2 2 2 4 4 4 4 6 2 6 4 4 2 0 4 0 2 6 4 2 4 6 6 4 4 6 4 6 0 2 0 0 0 0 0 2 2 0 2 6 2 0 2 4 4 0 2 4 6 2 6 4 2 0 4 6 6 2 2 2 6 0 0 0 0 2 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 4 4 4 0 0 0 4 0 4 0 4 0 4 4 4 4 4 0 4 0 4 generates a code of length 36 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+160x^28+8x^29+398x^30+112x^31+691x^32+232x^33+1086x^34+672x^35+1442x^36+600x^37+1174x^38+368x^39+680x^40+56x^41+322x^42+148x^44+28x^46+12x^48+2x^52 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 1.9 seconds.