The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 0 1 1 1 1 0 2 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 2 1 0 1 1 1 1 2 1 1 1 0 0 1 0 1 1 0 1 1 1 1 2 2 1 1 1 0 2 0 2 0 2 2 0 2 0 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 1 0 3 2 1 3 3 2 3 0 3 1 1 0 3 1 1 0 3 2 1 1 1 2 0 3 1 1 1 1 0 1 1 2 1 0 2 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 2 0 1 0 1 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 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 2 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 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 2 0 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 generates a code of length 79 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+55x^64+24x^65+114x^66+64x^67+149x^68+140x^69+223x^70+218x^71+324x^72+336x^73+347x^74+458x^75+388x^76+518x^77+471x^78+572x^79+464x^80+530x^81+430x^82+452x^83+344x^84+344x^85+273x^86+226x^87+192x^88+132x^89+116x^90+50x^91+66x^92+22x^93+53x^94+8x^95+48x^96+2x^97+16x^98+11x^100+4x^102+4x^104+1x^106+2x^108 The gray image is a code over GF(2) with n=158, k=13 and d=64. This code was found by Heurico 1.16 in 16.8 seconds.