The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 0 1 0 1 1 0 1 0 1 1 1 2 1 0 0 1 0 1 0 1 2 0 1 1 2 1 1 1 2 0 1 0 0 1 2 0 1 1 2 1 2 1 2 1 1 1 1 2 2 1 0 1 0 1 0 0 0 1 1 1 2 0 3 3 1 2 1 0 1 1 2 1 1 0 1 2 1 0 1 2 1 1 0 1 1 1 3 0 2 1 1 0 0 1 2 3 3 1 1 1 0 2 2 1 1 2 2 0 3 0 2 2 2 3 0 0 1 1 2 1 0 0 0 1 0 1 1 0 1 0 3 3 2 2 1 1 1 0 1 3 2 0 0 0 3 3 2 1 1 0 3 1 1 3 1 2 0 0 2 0 1 3 2 3 1 3 3 2 2 2 0 2 0 0 2 2 0 2 1 1 1 3 3 0 0 2 3 1 3 0 0 0 0 1 1 0 1 1 1 0 1 2 3 1 0 0 1 3 1 3 0 3 0 2 0 2 3 1 3 2 3 3 0 2 1 1 3 0 0 2 3 3 3 3 2 1 2 0 1 1 1 2 0 3 3 1 0 0 0 3 0 1 2 2 1 1 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 0 2 0 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 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+41x^58+54x^59+137x^60+188x^61+192x^62+228x^63+230x^64+228x^65+232x^66+250x^67+228x^68+218x^69+239x^70+246x^71+201x^72+226x^73+181x^74+144x^75+155x^76+114x^77+96x^78+94x^79+59x^80+50x^81+32x^82+8x^83+8x^84+9x^86+5x^88+2x^90 The gray image is a code over GF(2) with n=138, k=12 and d=58. This code was found by Heurico 1.16 in 2.55 seconds.