The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 2 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 2 1 1 2 2 1 1 1 2 0 0 0 1 0 0 2 1 2 0 0 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 1 1 2 3 0 3 0 0 3 1 0 2 1 1 2 1 0 1 2 2 0 2 0 1 2 1 1 0 1 1 2 1 0 0 0 0 1 2 1 1 1 1 2 1 1 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 0 3 1 2 2 1 1 3 0 3 1 1 0 3 2 3 1 0 1 0 0 1 2 3 1 2 0 3 1 2 0 1 3 1 1 1 0 2 2 1 1 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 generates a code of length 66 over Z4 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+26x^53+75x^54+94x^55+191x^56+188x^57+270x^58+306x^59+361x^60+388x^61+440x^62+468x^63+501x^64+570x^65+509x^66+552x^67+462x^68+498x^69+437x^70+438x^71+349x^72+288x^73+224x^74+162x^75+125x^76+80x^77+62x^78+24x^79+44x^80+10x^81+21x^82+4x^83+12x^84+10x^86+2x^88 The gray image is a code over GF(2) with n=132, k=13 and d=53. This code was found by Heurico 1.16 in 13.4 seconds.