The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 0 1 1 0 1 2 2 1 2 1 2 1 1 1 1 0 2 1 1 1 0 1 1 2 1 1 1 0 1 0 2 1 2 2 1 1 0 2 1 2 1 2 2 1 2 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 2 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 1 1 1 0 0 1 2 1 0 1 3 3 1 2 1 1 1 1 2 2 3 2 0 0 1 3 1 3 1 0 2 1 1 2 2 1 1 1 1 3 1 2 0 1 0 0 3 3 3 2 3 1 0 3 0 2 2 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 1 0 1 2 1 2 1 0 2 3 2 2 1 3 0 2 1 3 1 1 1 0 1 2 0 2 0 3 1 1 1 1 2 1 1 3 0 3 1 1 2 1 3 1 0 0 3 0 0 1 0 0 3 3 2 1 2 1 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+58x^68+46x^69+122x^70+114x^71+222x^72+244x^73+307x^74+334x^75+326x^76+370x^77+408x^78+454x^79+423x^80+464x^81+446x^82+506x^83+407x^84+498x^85+378x^86+398x^87+374x^88+292x^89+216x^90+178x^91+162x^92+110x^93+124x^94+58x^95+43x^96+24x^97+34x^98+6x^99+22x^100+8x^102+8x^104+5x^106+1x^112+1x^116 The gray image is a code over GF(2) with n=164, k=13 and d=68. This code was found by Heurico 1.16 in 14.6 seconds.