The generator matrix 1 0 0 0 0 0 0 1 1 1 2 0 0 2 0 0 1 1 1 0 2 2 1 1 0 0 1 1 1 0 1 1 1 2 1 1 0 1 2 2 1 1 0 2 1 1 2 1 2 2 1 2 2 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 3 2 1 2 1 0 3 1 1 3 0 3 1 0 1 2 0 1 3 2 0 1 2 3 0 1 1 0 2 2 0 2 0 2 1 1 1 2 1 2 1 1 3 2 1 2 3 3 0 2 1 3 2 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 3 3 0 1 3 1 2 2 2 3 1 3 0 1 2 0 2 3 1 1 1 2 0 1 2 0 2 2 3 3 2 3 2 1 0 0 1 0 3 3 3 3 3 0 1 0 3 0 1 1 0 0 1 1 1 3 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 3 1 1 1 1 1 3 2 3 2 0 3 2 0 1 1 3 3 1 0 1 2 1 2 0 0 2 2 3 0 3 2 0 2 1 1 3 1 1 2 0 1 3 0 1 1 1 2 1 2 2 3 1 0 0 0 0 0 1 0 0 0 1 1 1 2 0 1 1 1 0 3 0 0 3 2 0 3 3 3 2 0 0 3 3 3 2 2 3 0 3 3 0 0 1 1 2 3 3 2 2 3 1 1 1 2 3 1 0 0 0 1 2 0 2 0 3 3 0 3 1 0 2 0 3 2 0 0 0 0 0 0 1 0 1 0 1 3 2 0 3 1 1 0 3 3 3 2 2 1 0 2 3 1 2 2 2 0 1 2 1 0 3 2 2 3 1 3 3 0 2 1 1 3 3 2 3 3 1 0 0 0 0 2 2 0 2 3 0 0 3 2 3 0 3 3 1 1 0 0 0 0 0 0 0 0 1 1 3 2 1 1 1 2 1 0 2 0 0 2 3 1 3 3 2 1 0 1 3 3 2 1 0 2 1 1 0 3 0 0 0 0 1 0 1 2 0 2 3 1 2 2 0 3 2 2 1 1 0 1 2 1 3 3 1 2 2 2 1 3 0 1 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 generates a code of length 73 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+68x^58+106x^59+297x^60+386x^61+619x^62+658x^63+799x^64+1020x^65+1174x^66+1378x^67+1482x^68+1638x^69+1775x^70+1908x^71+1962x^72+2012x^73+1926x^74+2026x^75+1818x^76+1832x^77+1581x^78+1428x^79+1239x^80+964x^81+779x^82+542x^83+462x^84+286x^85+220x^86+132x^87+116x^88+52x^89+44x^90+12x^91+13x^92+2x^93+4x^94+2x^95+3x^96+1x^98+1x^118 The gray image is a code over GF(2) with n=146, k=15 and d=58. This code was found by Heurico 1.10 in 122 seconds.