The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 2 2 0 1 1 0 2 2 1 2 2 1 2 1 1 2 0 1 1 1 1 0 1 1 0 1 2 0 1 1 0 1 1 1 2 0 0 2 1 1 1 1 1 2 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 3 0 1 2 1 3 2 0 2 1 2 1 0 1 2 3 1 2 3 1 2 3 0 1 2 2 1 2 2 2 2 1 1 2 0 3 2 0 3 1 0 1 0 2 2 1 2 2 3 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 3 1 1 3 1 1 1 1 3 1 3 2 3 1 1 3 2 0 1 1 3 3 0 3 2 2 0 2 0 2 1 0 1 3 2 1 0 3 2 1 1 2 1 2 3 0 2 3 0 0 0 0 1 0 0 0 1 1 1 1 3 2 2 2 0 3 1 1 0 0 0 3 2 0 0 1 0 1 2 1 2 2 1 1 3 0 3 3 3 2 3 1 0 3 1 2 0 2 1 2 3 2 2 0 1 0 1 2 2 1 2 2 1 1 3 1 3 2 1 3 2 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 2 3 3 2 1 3 0 3 2 2 1 1 0 1 0 3 0 0 2 3 3 3 0 3 0 3 0 1 3 3 0 1 1 1 2 0 0 2 1 0 3 3 3 1 0 3 3 2 3 1 3 3 2 2 2 1 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 2 3 3 0 1 0 1 2 2 3 2 1 3 1 0 0 1 0 2 2 2 1 3 0 1 1 3 0 1 2 3 1 0 3 1 3 2 2 3 3 2 2 1 0 3 1 3 0 1 0 0 0 3 0 0 1 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 2 0 2 generates a code of length 72 over Z4 who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+90x^59+212x^60+270x^61+359x^62+464x^63+562x^64+604x^65+726x^66+828x^67+752x^68+892x^69+952x^70+888x^71+995x^72+1006x^73+998x^74+972x^75+875x^76+788x^77+687x^78+602x^79+537x^80+422x^81+314x^82+230x^83+143x^84+106x^85+58x^86+22x^87+17x^88+8x^89+2x^90+1x^92+1x^132 The gray image is a code over GF(2) with n=144, k=14 and d=59. This code was found by Heurico 1.16 in 82.6 seconds.