The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 2 1 2 2 1 0 1 1 1 2 1 1 1 1 1 1 0 1 0 2 2 2 1 1 0 1 1 1 1 2 1 0 1 2 1 1 1 1 0 2 1 1 1 1 1 1 2 2 1 1 2 1 1 1 2 1 1 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 2 0 1 1 0 3 3 1 0 1 0 1 2 2 2 1 1 2 0 2 3 3 0 0 0 1 1 0 1 0 1 1 0 2 3 3 0 0 2 2 1 3 1 1 2 2 0 1 3 2 0 3 3 2 1 3 1 1 2 3 3 1 3 1 0 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 0 3 1 1 3 1 3 0 1 2 2 1 0 1 2 3 1 1 3 2 0 2 0 2 3 1 1 1 0 0 3 1 3 1 2 1 0 0 1 1 3 2 3 3 0 3 1 1 1 2 0 0 0 3 0 1 3 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 3 0 3 2 1 3 0 2 3 0 1 1 0 3 3 1 2 0 0 0 0 2 3 3 2 1 0 1 3 1 1 0 2 2 0 0 1 3 2 2 0 1 0 3 3 1 3 0 2 0 3 0 2 1 1 1 1 2 3 3 1 2 2 2 0 0 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 generates a code of length 83 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+41x^70+88x^71+153x^72+232x^73+267x^74+292x^75+393x^76+372x^77+396x^78+390x^79+384x^80+494x^81+464x^82+474x^83+418x^84+438x^85+405x^86+400x^87+382x^88+308x^89+313x^90+272x^91+214x^92+144x^93+126x^94+110x^95+87x^96+54x^97+26x^98+18x^99+14x^100+6x^101+8x^102+4x^103+1x^104+2x^106+1x^108 The gray image is a code over GF(2) with n=166, k=13 and d=70. This code was found by Heurico 1.16 in 14.1 seconds.