The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 0 1 1 2 2 2 1 0 2 1 1 1 1 1 1 0 1 0 0 1 0 2 2 0 1 2 2 2 2 1 1 1 2 1 2 1 1 1 0 2 0 1 0 2 2 1 2 0 1 0 0 0 1 1 1 2 0 3 1 1 0 1 2 1 1 1 1 2 0 2 2 0 2 1 3 2 2 1 0 1 1 0 2 1 1 1 0 0 1 1 0 2 0 1 1 1 1 1 2 1 3 0 3 1 0 1 2 1 2 1 3 2 0 0 1 0 1 1 0 1 0 3 3 2 0 1 2 1 0 1 3 2 1 1 2 1 1 1 1 1 0 0 2 1 1 3 2 1 1 2 1 0 1 3 3 0 2 2 2 3 3 2 2 2 2 2 0 2 3 2 0 2 3 1 0 2 1 0 0 0 1 1 0 1 1 1 0 1 2 0 1 1 0 2 0 1 1 0 0 1 1 3 3 2 1 2 1 2 3 0 3 0 2 2 1 3 1 3 0 2 1 1 1 3 2 0 3 2 2 3 2 2 1 0 1 0 2 0 1 2 3 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 0 2 2 2 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 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 generates a code of length 65 over Z4 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+74x^55+125x^56+158x^57+192x^58+204x^59+285x^60+258x^61+199x^62+236x^63+281x^64+240x^65+228x^66+242x^67+238x^68+206x^69+159x^70+188x^71+139x^72+120x^73+98x^74+74x^75+75x^76+40x^77+15x^78+6x^79+6x^80+2x^81+2x^82+2x^84+3x^86 The gray image is a code over GF(2) with n=130, k=12 and d=55. This code was found by Heurico 1.16 in 10.5 seconds.