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 2 1 1 0 1 0 1 1 1 1 1 1 1 1 2 0 0 0 1 1 1 1 2 0 1 1 1 0 2 1 2 1 1 1 1 2 0 0 2 1 1 1 1 2 2 1 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 1 1 0 0 3 2 1 3 1 3 1 1 3 3 1 1 2 1 1 3 1 0 1 0 2 0 0 1 1 0 1 0 1 3 3 1 1 2 2 2 3 1 2 0 0 0 1 0 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 0 3 1 0 0 1 2 0 3 1 3 1 1 3 2 1 1 2 0 1 3 1 1 1 1 0 2 2 3 1 1 0 3 2 1 0 3 2 1 1 3 1 3 1 1 3 2 0 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 1 0 2 1 3 3 2 1 0 1 3 1 1 0 2 3 2 1 3 3 3 1 2 2 0 3 1 1 0 2 0 1 0 3 2 3 2 1 1 1 0 0 1 0 2 2 2 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 2 3 1 1 1 3 0 0 2 2 1 3 1 2 2 2 1 1 1 0 1 1 0 3 1 3 1 1 2 3 3 0 1 2 3 1 2 0 0 2 0 1 0 0 1 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 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 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 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 2 2 2 0 0 2 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 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 2 0 2 2 0 generates a code of length 79 over Z4 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+86x^67+173x^68+210x^69+291x^70+274x^71+318x^72+430x^73+421x^74+406x^75+427x^76+508x^77+430x^78+388x^79+455x^80+428x^81+447x^82+416x^83+404x^84+376x^85+289x^86+240x^87+207x^88+172x^89+135x^90+92x^91+51x^92+50x^93+29x^94+18x^95+10x^96+2x^97+5x^98+1x^100+1x^110+1x^120 The gray image is a code over GF(2) with n=158, k=13 and d=67. This code was found by Heurico 1.16 in 96.5 seconds.