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 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 0 1 1 1 1 2 1 1 1 2 1 1 0 1 2 1 2 1 1 4 4 0 12 0 0 0 0 0 0 0 4 12 12 4 12 4 12 8 12 8 12 0 8 12 8 4 12 8 12 4 4 0 12 8 8 0 12 4 4 8 4 12 4 12 4 12 0 8 0 0 8 0 12 4 12 4 8 4 0 12 4 0 4 4 12 12 8 4 12 12 12 4 0 8 12 12 0 0 12 0 0 8 12 12 4 4 4 8 4 12 0 8 0 8 0 4 4 4 4 4 12 0 12 8 12 0 8 8 12 8 0 0 12 0 12 4 8 8 12 8 8 4 12 12 0 8 4 4 0 8 4 4 8 0 4 0 8 12 12 4 12 4 0 12 12 0 4 4 0 8 8 0 0 0 12 0 12 12 4 8 0 0 0 4 12 4 4 8 12 4 4 8 8 4 4 0 8 4 0 0 8 4 4 12 8 0 0 4 12 4 0 8 0 8 4 12 4 8 8 8 4 4 4 12 8 12 8 12 8 12 4 0 8 4 8 8 0 8 4 4 4 4 4 12 12 12 0 0 0 0 12 4 8 4 4 0 4 4 4 0 8 12 12 8 8 4 8 12 0 12 4 12 0 8 0 0 4 4 8 0 8 4 8 12 12 8 0 4 12 0 4 0 4 8 4 4 12 8 0 4 8 8 8 0 4 4 0 4 12 8 4 12 8 12 12 0 4 4 4 12 4 generates a code of length 75 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+113x^68+4x^69+214x^70+72x^71+338x^72+300x^73+678x^74+768x^75+685x^76+332x^77+244x^78+56x^79+115x^80+4x^81+74x^82+41x^84+28x^86+18x^88+8x^90+2x^94+1x^124 The gray image is a code over GF(2) with n=600, k=12 and d=272. This code was found by Heurico 1.16 in 0.925 seconds.