The generator matrix 1 0 1 1 1 0 1 1 4 1 1 4 6 1 1 1 1 6 6 1 1 0 1 1 2 0 2 2 2 1 0 1 1 0 1 1 0 3 1 0 3 1 1 7 0 4 7 1 1 1 5 1 2 2 4 1 6 1 2 0 0 0 2 0 0 0 0 0 2 0 2 0 6 4 2 2 4 4 6 2 0 2 4 6 0 0 4 0 2 0 0 0 0 2 0 0 0 0 2 2 6 2 4 6 4 0 2 2 6 2 4 2 0 0 2 0 4 4 2 0 0 0 0 0 2 0 0 2 0 2 2 4 2 2 0 6 4 4 6 0 0 4 2 6 2 6 2 2 4 0 0 0 0 0 0 2 6 2 2 0 6 4 0 2 2 2 0 2 2 2 4 0 4 0 2 2 6 4 2 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 4 0 4 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 4 4 generates a code of length 30 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+35x^20+136x^21+285x^22+534x^23+1025x^24+1678x^25+3219x^26+4798x^27+7083x^28+9218x^29+9374x^30+9170x^31+7249x^32+4910x^33+3242x^34+1778x^35+933x^36+414x^37+245x^38+96x^39+53x^40+28x^41+19x^42+8x^43+5x^44 The gray image is a code over GF(2) with n=120, k=16 and d=40. This code was found by Heurico 1.16 in 48.2 seconds.