The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 2 0 1 0 1 1 2 0 1 1 2 1 0 1 1 1 2 0 0 0 1 1 2 1 2 1 2 1 2 2 1 1 1 1 2 1 1 1 1 1 0 1 0 1 0 2 1 0 1 1 2 1 1 1 0 1 1 1 1 1 1 1 2 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 3 2 3 3 1 1 3 2 1 3 2 0 2 3 2 1 1 1 0 0 1 0 2 1 2 2 1 0 0 1 1 0 1 2 1 0 1 0 2 2 1 3 1 1 0 0 0 0 1 1 2 2 1 0 1 3 2 2 1 2 0 0 2 0 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 3 1 1 1 3 2 3 1 1 0 0 0 1 2 1 0 1 0 0 1 0 2 0 2 1 3 2 3 1 1 3 3 0 0 3 3 1 3 3 2 0 3 0 2 3 0 3 2 1 3 1 1 3 2 0 2 0 0 1 0 0 2 1 2 2 0 0 0 0 1 0 1 1 0 1 0 1 3 3 2 0 2 1 1 0 2 3 3 3 2 3 2 2 1 2 3 2 0 3 3 1 1 3 2 3 1 1 0 1 2 2 1 1 1 0 3 3 1 0 2 2 0 1 2 0 3 1 0 0 2 3 2 3 1 0 0 3 0 3 0 3 1 2 3 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 3 0 3 0 0 1 2 1 2 2 1 1 1 3 0 0 0 2 2 3 2 1 2 3 0 0 1 3 2 2 3 1 0 2 2 0 1 1 1 3 1 3 3 1 2 0 0 0 1 0 1 1 0 2 2 3 3 2 3 1 3 1 3 3 3 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+79x^68+118x^69+259x^70+308x^71+403x^72+474x^73+614x^74+670x^75+602x^76+742x^77+741x^78+860x^79+899x^80+960x^81+937x^82+888x^83+943x^84+912x^85+809x^86+814x^87+698x^88+586x^89+525x^90+406x^91+340x^92+238x^93+165x^94+128x^95+110x^96+60x^97+35x^98+20x^99+20x^100+6x^101+8x^102+2x^103+1x^104+1x^106+2x^110 The gray image is a code over GF(2) with n=164, k=14 and d=68. This code was found by Heurico 1.16 in 96.5 seconds.