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 2 0 2 0 2 1 1 1 2 0 1 2 0 1 1 2 2 2 1 1 1 1 1 0 2 2 0 1 2 1 2 2 1 1 0 1 2 1 1 2 0 0 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 0 1 1 1 1 2 2 2 1 2 1 1 1 3 3 0 1 1 0 2 0 0 3 0 1 2 0 1 2 3 2 1 2 0 2 2 2 3 0 1 1 1 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 0 1 2 3 2 0 2 0 1 0 3 2 2 3 0 1 3 3 3 2 3 0 2 0 3 0 0 3 1 0 2 2 3 0 1 1 2 2 2 0 1 1 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 1 3 2 1 2 2 2 2 0 1 1 1 3 0 1 1 3 2 1 0 0 0 3 1 3 1 0 1 3 1 0 3 3 0 0 3 1 0 1 2 1 3 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 1 3 1 3 3 1 3 0 0 3 3 3 1 2 0 2 2 1 3 3 2 0 3 2 2 1 2 0 2 1 0 1 3 0 0 0 0 0 1 2 2 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 0 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 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 2 0 0 0 0 2 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 0 2 0 2 2 2 0 2 2 2 2 2 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 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 generates a code of length 81 over Z4 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+92x^69+164x^70+216x^71+283x^72+332x^73+374x^74+376x^75+392x^76+426x^77+421x^78+356x^79+464x^80+504x^81+444x^82+450x^83+448x^84+422x^85+339x^86+298x^87+294x^88+266x^89+222x^90+174x^91+124x^92+124x^93+73x^94+50x^95+36x^96+10x^97+8x^98+4x^100+2x^102+1x^104+1x^112+1x^118 The gray image is a code over GF(2) with n=162, k=13 and d=69. This code was found by Heurico 1.16 in 18.9 seconds.