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 1 1 1 2 1 1 1 0 0 2 1 2 1 1 2 2 2 0 1 1 1 2 0 1 1 0 1 2 1 1 1 1 0 1 1 1 1 1 1 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 3 1 1 2 1 2 0 0 2 1 0 1 1 3 2 1 1 0 1 1 0 1 1 1 1 3 2 0 1 0 3 0 1 0 1 3 1 2 2 2 2 1 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 1 0 0 3 2 2 3 1 1 1 3 1 1 0 0 1 0 2 1 1 0 0 2 3 3 0 3 1 2 0 1 3 1 3 1 3 0 2 0 3 2 1 1 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 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 2 2 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 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 0 2 2 2 2 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 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 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 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 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 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 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 2 2 2 0 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 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 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 generates a code of length 71 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+56x^58+46x^59+160x^60+138x^61+234x^62+280x^63+290x^64+388x^65+414x^66+394x^67+453x^68+488x^69+444x^70+598x^71+491x^72+544x^73+451x^74+442x^75+400x^76+338x^77+295x^78+220x^79+174x^80+140x^81+108x^82+62x^83+53x^84+12x^85+34x^86+6x^87+19x^88+11x^90+6x^92+1x^94+1x^96 The gray image is a code over GF(2) with n=142, k=13 and d=58. This code was found by Heurico 1.16 in 11.9 seconds.