The generator matrix 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 2 0 2 2 2a+2 2a+2 0 0 0 2 0 2a+2 2 2a+2 0 2a+2 2a+2 0 0 0 0 2 2 2 2a 2a+2 0 2 0 generates a code of length 11 over GR(16,4) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+30x^24+66x^28+39x^32+768x^33+60x^36+42x^40+18x^44 The gray image is a code over GF(4) with n=44, k=5 and d=24. This code was found by Heurico 1.16 in 0.016 seconds.