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 2 1 2 1 0 1 0 2 0 0 0 1 0 0 0 2 1 0 0 1 1 1 1 0 2 1 2 0 0 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 1 3 0 2 0 1 1 0 3 3 1 0 1 0 1 2 2 1 2 1 2 0 2 3 1 3 1 2 2 2 1 2 1 0 1 1 1 0 0 2 0 1 1 2 2 2 2 2 3 2 0 1 3 1 1 0 3 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 1 0 2 2 1 0 1 2 0 3 1 0 1 2 1 2 1 2 3 0 1 2 1 2 0 1 2 1 1 3 3 3 2 0 1 3 1 0 1 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 3 3 1 3 0 3 2 1 3 0 2 3 0 1 1 0 3 1 3 2 0 0 0 0 2 1 1 3 3 2 3 1 1 2 3 3 3 2 1 0 1 3 2 2 0 1 3 3 0 0 1 1 2 3 1 2 2 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 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+83x^60+104x^61+217x^62+274x^63+281x^64+320x^65+351x^66+414x^67+463x^68+456x^69+465x^70+456x^71+458x^72+508x^73+439x^74+498x^75+421x^76+412x^77+364x^78+318x^79+247x^80+204x^81+153x^82+78x^83+73x^84+36x^85+49x^86+8x^87+12x^88+8x^89+9x^90+2x^91+8x^92+1x^94+1x^96 The gray image is a code over GF(2) with n=144, k=13 and d=60. This code was found by Heurico 1.16 in 11.6 seconds.