The generator matrix 1 1 1 1 1 1 1 1 1 5 1 1 0 5 0 0 0 5 0 5 5 5 5 0 0 0 5 0 0 15 10 20 15 10 20 0 0 0 0 5 0 15 20 20 20 15 0 0 0 0 0 0 5 15 15 10 5 5 15 0 generates a code of length 12 over Z25 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+84x^30+240x^35+420x^40+2500x^44+520x^45+10000x^49+944x^50+656x^55+260x^60 The gray image is a code over GF(5) with n=60, k=6 and d=30. This code was found by Heurico 1.16 in 0.0786 seconds.