The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 0 1 1 0 1 1 0 0 1 1 2 0 2 1 1 1 2 2 1 0 0 2 2 1 2 1 1 0 1 0 1 0 0 1 0 1 2 0 1 0 2 1 2 1 0 1 1 0 2 1 0 1 2 1 2 1 1 1 2 1 1 1 2 1 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 3 1 3 3 1 2 1 0 2 1 1 1 1 1 1 0 2 1 2 1 2 1 0 2 3 2 0 0 1 1 1 0 1 3 2 1 2 2 2 1 1 1 1 2 1 2 1 0 2 2 2 1 2 2 3 2 1 0 2 2 2 0 3 0 0 1 0 0 0 0 0 0 0 1 3 1 0 1 1 1 2 1 2 1 2 3 2 0 1 2 2 3 3 1 3 1 0 3 2 1 2 0 0 1 2 1 3 1 2 3 0 1 1 3 3 2 0 3 3 1 1 1 0 0 1 1 2 1 1 2 2 3 0 2 2 0 2 1 0 2 2 0 0 0 1 0 0 0 1 1 1 3 1 0 2 0 0 1 1 1 1 3 2 2 0 3 2 0 3 1 1 3 2 0 2 2 1 3 1 1 2 1 3 2 0 3 0 1 2 3 3 0 2 1 1 2 0 1 3 2 3 2 1 0 1 0 0 3 0 1 1 2 3 3 3 3 0 0 3 0 0 0 0 1 0 1 1 0 3 2 1 1 3 1 2 2 2 0 0 2 3 0 0 3 0 2 1 1 1 1 1 3 1 3 1 3 0 2 3 1 3 1 1 1 3 1 3 2 1 2 0 0 1 3 0 3 3 0 0 1 3 1 1 3 2 0 1 3 0 3 2 0 2 0 1 3 0 0 0 0 0 0 1 1 2 3 1 0 1 1 1 3 2 2 0 1 3 1 2 1 1 0 1 1 3 0 1 0 2 2 0 2 3 0 0 3 2 0 0 3 3 0 0 2 2 2 1 0 2 3 0 2 2 1 1 0 1 0 1 1 1 0 1 3 2 2 0 0 1 0 2 2 1 1 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 generates a code of length 78 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+71x^66+130x^67+234x^68+292x^69+312x^70+382x^71+361x^72+438x^73+382x^74+408x^75+459x^76+406x^77+506x^78+474x^79+441x^80+422x^81+448x^82+376x^83+324x^84+346x^85+216x^86+200x^87+180x^88+124x^89+88x^90+70x^91+37x^92+20x^93+21x^94+8x^95+8x^96+3x^98+2x^100+1x^110+1x^120 The gray image is a code over GF(2) with n=156, k=13 and d=66. This code was found by Heurico 1.16 in 12.6 seconds.