The generator matrix 1 1 1 1 1 1 1 0 2 0 0 0 2 0 0 0 2 0 0 2a+2 0 0 0 0 2 0 2 0 0 0 0 0 2 2a+2 0 generates a code of length 7 over GR(16,4) who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+30x^8+75x^12+165x^16+270x^20+3072x^21+300x^24+183x^28 The gray image is a code over GF(4) with n=28, k=6 and d=8. This code was found by Heurico 1.16 in 0.00291 seconds.