The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 0 0 1 1 0 2 2 2 1 2 0 1 2 0 1 0 2 1 1 1 1 2 1 0 1 1 0 1 2 0 0 1 2 1 1 1 0 2 1 0 2 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 1 1 2 1 0 2 2 1 1 1 1 2 0 1 0 3 1 0 3 2 1 0 3 1 2 3 1 0 1 0 1 0 3 2 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 2 2 3 1 1 3 0 1 1 2 1 1 3 2 3 1 0 0 2 2 3 1 3 2 0 2 3 0 1 3 2 1 3 2 2 1 1 3 1 2 2 3 0 2 3 1 0 0 0 0 1 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 1 1 1 1 3 3 1 3 3 1 1 1 1 3 2 2 1 1 2 1 2 3 2 3 0 1 3 1 1 3 3 0 3 2 3 2 3 1 3 2 0 0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 3 1 1 3 3 0 3 3 1 3 0 3 2 3 1 2 3 2 3 0 2 0 1 1 3 2 3 3 2 3 0 2 3 2 0 0 0 0 0 0 1 0 1 3 2 3 0 1 1 1 2 1 2 3 0 1 1 3 1 0 3 0 2 0 1 2 2 2 2 3 1 2 3 1 3 0 0 2 1 0 1 1 2 0 2 0 0 3 3 2 0 0 2 1 3 3 0 0 0 0 0 0 0 1 2 1 3 3 1 0 1 0 1 3 1 2 0 3 2 0 1 3 0 3 0 2 1 3 1 2 0 1 2 0 3 3 0 1 1 1 2 0 2 1 1 2 3 2 3 2 2 2 0 3 3 2 0 1 1 generates a code of length 62 over Z4 who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+38x^49+123x^50+202x^51+315x^52+410x^53+514x^54+594x^55+704x^56+788x^57+928x^58+1004x^59+954x^60+1094x^61+1078x^62+1062x^63+975x^64+982x^65+941x^66+772x^67+757x^68+606x^69+516x^70+390x^71+238x^72+160x^73+119x^74+68x^75+22x^76+18x^77+4x^78+2x^79+2x^80+2x^83+1x^106 The gray image is a code over GF(2) with n=124, k=14 and d=49. This code was found by Heurico 1.10 in 13 seconds.