The generator matrix 1 0 0 0 0 1 1 1 1 2 1 1 0 1 2 1 2 1 1 1 1 0 1 1 2 0 0 1 1 0 0 0 1 1 1 1 2 0 1 2 1 1 2 0 1 1 1 0 1 1 0 1 2 2 2 0 1 1 1 1 2 1 0 2 2 1 1 2 2 1 0 2 1 0 0 1 1 0 1 0 0 0 0 0 0 2 0 0 2 2 2 0 1 1 1 1 3 3 1 1 1 1 1 2 3 2 1 1 1 2 3 2 3 1 2 0 1 2 1 0 0 2 3 0 0 1 2 0 1 1 2 2 1 2 2 1 2 2 1 1 1 1 0 2 1 1 0 2 1 3 1 0 2 0 0 0 1 0 0 0 0 1 1 1 2 3 1 3 1 1 1 3 0 2 1 1 0 3 0 2 0 2 2 3 1 2 1 2 3 0 1 0 0 2 2 3 0 1 2 1 1 1 1 1 2 3 1 1 1 3 0 2 1 3 2 3 2 2 2 1 0 0 2 3 0 1 1 0 0 2 0 0 0 0 1 0 1 2 2 0 2 1 1 3 3 1 0 3 0 3 3 1 1 2 1 1 2 1 0 3 0 0 3 3 2 1 1 3 1 3 2 2 3 2 2 0 3 2 1 2 0 1 0 2 1 3 2 3 0 1 2 1 1 2 1 3 0 0 2 3 1 0 2 2 1 2 0 0 0 0 0 0 1 1 1 3 0 1 2 1 1 2 0 2 0 1 3 0 2 3 0 3 2 3 1 3 1 1 0 3 2 3 3 0 1 1 0 3 1 2 1 1 3 3 2 3 0 1 0 3 2 3 3 1 1 0 2 0 1 0 1 3 3 0 2 2 3 1 1 2 2 3 1 3 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 0 generates a code of length 77 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+55x^68+80x^69+135x^70+130x^71+146x^72+172x^73+124x^74+132x^75+115x^76+148x^77+86x^78+78x^79+90x^80+78x^81+81x^82+64x^83+40x^84+52x^85+60x^86+30x^87+45x^88+36x^89+23x^90+12x^91+18x^92+8x^93+3x^94+2x^95+2x^96+2x^97 The gray image is a code over GF(2) with n=154, k=11 and d=68. This code was found by Heurico 1.16 in 0.72 seconds.