The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 1 2 2 0 1 2 1 1 0 1 1 1 1 0 1 2 0 1 1 2 0 1 0 1 0 1 2 1 1 2 1 1 0 1 0 2 1 1 2 2 0 2 0 1 0 1 1 2 1 1 0 1 0 0 1 1 1 0 0 1 3 2 1 1 2 0 0 1 3 1 1 1 3 1 2 0 2 3 0 2 0 1 1 2 1 0 1 0 1 1 1 2 1 2 2 0 3 1 3 2 0 3 2 1 0 2 0 2 1 1 1 0 1 3 3 0 0 1 0 0 1 1 1 0 1 0 1 3 0 2 0 3 1 3 1 1 0 2 1 3 0 2 3 2 1 3 3 1 1 1 1 1 3 3 0 1 1 0 3 0 2 2 1 1 0 2 3 0 1 2 1 1 1 2 1 1 3 0 2 2 1 0 1 1 0 1 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+44x^57+100x^58+102x^59+159x^60+170x^61+204x^62+208x^63+265x^64+212x^65+221x^66+278x^67+233x^68+286x^69+228x^70+256x^71+205x^72+212x^73+169x^74+130x^75+109x^76+86x^77+74x^78+48x^79+37x^80+12x^81+19x^82+2x^83+11x^84+2x^85+4x^86+3x^88+3x^90+2x^94+1x^96 The gray image is a code over GF(2) with n=136, k=12 and d=57. This code was found by Heurico 1.16 in 18.1 seconds.