The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 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 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 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 2 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+90x^68+66x^70+258x^72+185x^74+392x^76+4x^77+309x^78+46x^79+560x^80+196x^81+433x^82+504x^83+621x^84+976x^85+528x^86+1494x^87+624x^88+1736x^89+662x^90+1504x^91+573x^92+996x^93+628x^94+506x^95+444x^96+180x^97+564x^98+40x^99+305x^100+8x^101+402x^102+2x^103+145x^104+183x^106+63x^108+111x^110+15x^112+19x^114+4x^116+3x^118+1x^120+2x^122+1x^150 The gray image is a code over GF(2) with n=178, k=14 and d=68. This code was found by Heurico 1.16 in 91.3 seconds.