The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 2 0 0 2 0 2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 0 2 2 2a 0 2 2a+2 2 2a 2a 0 0 2 0 2a+2 2 2a+2 0 2a+2 2a+2 2 2 2a+2 2 0 2 2a+2 0 2a+2 2a 2 0 2a+2 0 2a 0 0 0 2 2 2 2a 2a+2 0 2 0 2 2a 2a 2a 2a+2 0 2a 2a 2a 2 2 2a 2 0 generates a code of length 25 over GR(16,4) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+66x^68+267x^72+624x^76+21x^80+18x^84+9x^88+12x^92+6x^96 The gray image is a code over GF(4) with n=100, k=5 and d=68. This code was found by Heurico 1.16 in 0.015 seconds.