The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 0 0 1 1 0 1 1 1 1 0 1 2 1 2 1 1 1 1 1 2 1 1 0 0 1 2 1 2 2 1 2 1 0 0 2 1 1 1 1 0 0 0 2 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 2 0 2 1 2 1 2 0 3 0 0 0 3 1 3 1 1 2 0 3 1 2 3 1 0 1 2 0 2 1 1 1 1 0 1 3 1 1 1 1 0 2 1 2 0 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 0 3 1 2 3 0 3 0 3 1 2 1 3 3 2 1 1 0 0 0 3 0 0 2 2 1 1 2 1 2 0 2 1 0 3 0 1 0 2 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 0 2 0 1 3 3 0 3 1 0 0 2 3 0 0 1 3 1 1 3 0 2 2 0 1 3 1 0 2 2 1 3 3 3 3 3 2 3 0 2 1 2 3 1 1 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 3 0 1 2 0 1 3 0 3 3 1 1 3 0 0 3 1 2 1 2 3 3 3 1 3 0 2 0 3 3 3 1 0 1 1 1 2 1 0 1 3 2 0 3 2 3 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 0 2 2 2 2 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+69x^56+110x^57+155x^58+262x^59+295x^60+334x^61+420x^62+410x^63+435x^64+458x^65+488x^66+500x^67+496x^68+478x^69+440x^70+452x^71+407x^72+406x^73+340x^74+318x^75+247x^76+222x^77+160x^78+98x^79+78x^80+34x^81+40x^82+8x^83+18x^84+6x^85+4x^86+2x^88+1x^90 The gray image is a code over GF(2) with n=136, k=13 and d=56. This code was found by Heurico 1.16 in 10.4 seconds.