The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 1 1 2 1 0 0 1 2 2 1 1 2 1 0 1 0 0 1 2 1 0 0 1 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1 0 1 1 2 1 1 1 1 1 0 2 1 2 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 3 1 1 0 0 2 1 2 2 3 1 0 1 2 0 1 1 2 1 2 2 2 2 1 0 0 0 2 1 1 0 3 0 3 3 3 2 1 1 0 1 1 3 3 3 2 1 1 2 3 2 0 0 0 1 1 3 1 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 2 3 0 1 0 1 2 2 0 1 0 1 2 1 0 3 1 0 1 1 1 1 1 0 0 3 0 1 1 2 0 0 2 3 1 2 3 0 2 3 3 0 3 2 1 1 3 0 1 2 0 2 2 2 2 0 0 1 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 3 0 1 2 1 3 2 1 1 1 0 0 2 2 1 3 1 3 3 2 3 3 3 0 1 1 2 1 0 2 0 0 1 0 2 2 1 1 3 3 0 0 1 1 0 1 1 2 2 0 1 1 1 0 0 1 3 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 3 2 1 1 3 1 0 2 1 2 3 2 1 3 0 0 3 1 0 3 0 1 2 1 3 0 3 1 1 0 1 1 2 3 1 1 0 3 2 2 2 0 2 1 0 1 2 3 1 2 1 1 2 3 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+47x^76+128x^77+178x^78+198x^79+280x^80+352x^81+341x^82+368x^83+429x^84+408x^85+456x^86+394x^87+396x^88+442x^89+399x^90+396x^91+380x^92+466x^93+340x^94+340x^95+325x^96+226x^97+217x^98+162x^99+131x^100+138x^101+94x^102+52x^103+54x^104+12x^105+17x^106+10x^107+5x^108+4x^109+4x^110+1x^114+1x^130 The gray image is a code over GF(2) with n=178, k=13 and d=76. This code was found by Heurico 1.16 in 15 seconds.