The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 2 0 1 1 1 2 1 1 1 1 2 1 1 1 0 0 1 2 1 1 1 2 1 1 1 1 1 1 1 1 0 1 0 0 1 0 2 1 1 2 0 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 1 3 1 1 0 1 0 0 3 3 1 1 0 3 2 1 3 1 0 1 1 0 1 2 1 1 2 1 3 3 2 1 1 0 2 1 0 2 3 0 1 3 1 0 2 0 1 2 3 0 1 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 2 generates a code of length 70 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+53x^58+36x^59+108x^60+92x^61+161x^62+158x^63+195x^64+204x^65+213x^66+240x^67+229x^68+274x^69+201x^70+268x^71+225x^72+296x^73+211x^74+244x^75+157x^76+128x^77+109x^78+70x^79+59x^80+28x^81+47x^82+8x^83+31x^84+2x^85+23x^86+15x^88+4x^90+3x^92+2x^94+1x^96 The gray image is a code over GF(2) with n=140, k=12 and d=58. This code was found by Heurico 1.16 in 7.71 seconds.