The generator matrix 1 0 0 0 1 1 1 2 1 2 4 1 1 1 2 6 1 1 0 0 1 1 1 1 4 2 1 0 1 1 0 1 0 0 0 1 5 1 4 1 1 0 3 7 2 1 6 4 6 1 7 1 7 3 1 1 3 6 7 4 0 0 1 0 1 1 4 5 6 6 3 7 3 0 1 4 2 2 1 4 3 4 1 2 1 7 6 1 6 4 0 0 0 1 1 4 1 1 5 7 2 6 1 2 7 4 4 7 5 5 6 7 3 7 0 1 4 6 5 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 4 generates a code of length 30 over Z8 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+43x^24+344x^25+495x^26+780x^27+800x^28+1152x^29+960x^30+1224x^31+762x^32+826x^33+415x^34+244x^35+90x^36+28x^37+18x^38+8x^39+2x^41 The gray image is a code over GF(2) with n=120, k=13 and d=48. This code was found by Heurico 1.16 in 0.717 seconds.