The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 2 1 2 1 1 1 0 1 1 2 0 1 0 2 1 2 0 1 2 1 1 1 1 0 1 1 1 1 0 2 1 1 2 2 1 2 1 2 2 1 1 2 0 1 1 0 1 1 1 2 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 2 1 3 2 0 1 1 3 2 1 1 1 2 0 1 1 3 2 2 1 3 0 0 2 0 1 2 1 2 2 3 1 2 2 2 2 1 1 0 1 0 1 2 0 1 1 2 0 2 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 1 3 3 3 0 3 1 3 1 0 0 3 1 1 2 2 0 0 3 2 3 1 2 0 0 1 3 1 2 3 3 1 1 2 1 0 2 3 1 0 1 3 0 3 3 1 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 2 0 1 0 1 0 0 3 1 3 2 3 2 3 2 1 3 0 1 3 1 0 3 1 0 1 1 1 1 1 0 2 2 2 3 0 1 3 3 0 2 0 0 0 1 3 1 2 2 0 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 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 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 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 generates a code of length 72 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+56x^58+60x^59+201x^60+272x^61+382x^62+424x^63+535x^64+572x^65+699x^66+808x^67+785x^68+874x^69+946x^70+1050x^71+947x^72+1078x^73+945x^74+922x^75+889x^76+884x^77+702x^78+604x^79+564x^80+328x^81+285x^82+188x^83+132x^84+82x^85+62x^86+34x^87+29x^88+6x^89+15x^90+6x^91+8x^92+4x^94+2x^96+1x^100+2x^104 The gray image is a code over GF(2) with n=144, k=14 and d=58. This code was found by Heurico 1.16 in 85.7 seconds.