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 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 1 1 4 2 2 2 1 4 1 1 1 2 2 2 1 2 4 1 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 0 4 4 0 4 0 4 4 0 0 4 4 4 0 4 0 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 4 4 4 0 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 0 4 4 0 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 0 0 4 4 4 0 0 4 0 0 0 0 4 4 0 0 4 4 4 4 4 4 0 4 0 0 0 4 0 0 4 0 4 0 0 0 4 0 0 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 4 0 4 0 0 0 4 0 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 0 0 4 4 0 0 0 4 4 0 0 4 0 0 4 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 0 4 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 4 0 0 0 4 4 0 4 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 4 0 0 4 4 4 4 0 0 4 0 4 0 0 4 4 0 0 4 0 0 4 4 4 4 0 0 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 0 0 0 4 0 4 0 0 0 4 0 4 0 4 0 4 4 0 0 4 4 4 4 4 4 4 4 0 0 0 4 4 0 4 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 4 0 4 4 0 0 4 4 4 4 4 4 0 4 0 0 0 4 4 0 4 4 4 4 4 4 0 4 4 0 0 0 0 4 0 4 0 4 4 0 4 0 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+99x^56+8x^58+207x^60+72x^62+321x^64+256x^65+176x^66+768x^67+352x^68+768x^69+176x^70+256x^71+275x^72+72x^74+140x^76+8x^78+90x^80+36x^84+13x^88+1x^92+1x^104 The gray image is a code over GF(2) with n=272, k=12 and d=112. This code was found by Heurico 1.16 in 1.58 seconds.