The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 2 1 1 0 2 2 1 0 0 1 1 1 1 2 1 1 0 1 2 1 0 1 0 1 1 1 1 0 1 0 1 1 2 1 0 1 1 1 1 0 1 1 1 1 0 1 0 2 1 0 0 2 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 2 3 2 1 1 2 0 1 3 1 2 2 0 3 0 0 3 0 2 1 2 1 1 1 1 2 2 1 1 1 3 1 1 1 0 3 3 1 0 1 2 2 1 1 2 1 1 3 2 0 1 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 3 1 2 2 3 1 0 1 2 3 3 3 1 2 0 1 1 3 1 0 2 0 2 0 2 1 0 2 2 2 3 2 0 0 0 3 1 1 1 2 0 3 3 1 0 3 2 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 3 3 2 0 2 1 1 0 1 3 2 2 0 1 2 3 0 0 1 3 3 0 1 1 3 0 0 2 0 1 3 3 2 2 3 3 0 2 1 3 2 2 2 1 1 2 0 1 1 3 3 2 0 1 2 2 2 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 3 0 1 2 3 3 2 3 1 2 1 2 0 3 3 2 3 1 0 2 2 3 3 1 2 1 0 0 1 3 2 3 2 3 0 3 2 2 1 0 2 1 2 2 1 1 2 0 1 1 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 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 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 generates a code of length 68 over Z4 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+90x^55+144x^56+240x^57+326x^58+458x^59+593x^60+596x^61+714x^62+738x^63+833x^64+892x^65+988x^66+1010x^67+992x^68+1078x^69+1034x^70+972x^71+882x^72+836x^73+727x^74+594x^75+479x^76+364x^77+242x^78+214x^79+141x^80+80x^81+62x^82+18x^83+22x^84+10x^85+2x^86+2x^87+5x^88+1x^90+2x^92+1x^96+1x^104 The gray image is a code over GF(2) with n=136, k=14 and d=55. This code was found by Heurico 1.16 in 76.1 seconds.