The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 1 0 0 1 2 1 2 0 1 1 1 2 1 2 0 0 1 1 2 0 1 1 2 1 1 0 2 2 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 2 0 1 1 0 3 3 1 2 0 1 1 2 2 1 0 1 2 2 1 1 0 1 0 1 3 2 1 0 2 1 2 1 1 2 2 0 2 1 0 0 3 3 0 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 1 1 2 2 3 3 0 2 1 0 3 0 0 0 0 1 2 3 3 1 1 1 2 3 1 0 3 1 1 1 0 2 0 3 3 0 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 3 0 3 2 1 3 0 0 0 3 3 0 3 1 1 1 2 2 2 2 3 0 1 1 1 0 0 3 2 1 1 0 1 3 3 3 1 2 3 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 generates a code of length 62 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+50x^50+64x^51+172x^52+200x^53+283x^54+386x^55+385x^56+396x^57+412x^58+454x^59+487x^60+520x^61+513x^62+520x^63+507x^64+556x^65+467x^66+432x^67+339x^68+316x^69+260x^70+166x^71+117x^72+56x^73+54x^74+26x^75+33x^76+4x^77+7x^78+6x^80+1x^82+1x^84+1x^102 The gray image is a code over GF(2) with n=124, k=13 and d=50. This code was found by Heurico 1.16 in 9.32 seconds.