The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 1 2 1 2 1 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 2 2 2 1 1 2 2 2 1 1 2 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 1 0 1 1 2 2 0 2 0 3 2 3 2 0 3 0 0 3 2 3 2 1 1 3 2 0 1 2 1 1 2 2 2 1 1 2 0 2 0 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 3 0 2 0 1 1 1 0 3 0 1 2 2 2 3 0 0 2 0 2 1 3 0 2 1 0 3 2 3 2 3 1 1 0 1 0 1 3 0 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 2 1 0 3 3 1 0 0 1 3 1 3 3 0 3 0 2 0 0 1 2 3 1 3 0 1 2 2 0 1 2 2 0 2 2 2 2 0 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 2 0 3 1 0 3 1 0 1 1 2 3 2 1 2 3 3 0 2 1 0 3 0 3 0 1 3 1 2 1 0 0 0 0 3 0 1 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 generates a code of length 70 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+64x^58+108x^59+186x^60+252x^61+338x^62+334x^63+338x^64+398x^65+454x^66+430x^67+501x^68+530x^69+432x^70+528x^71+449x^72+462x^73+411x^74+398x^75+370x^76+306x^77+249x^78+212x^79+161x^80+92x^81+91x^82+32x^83+39x^84+8x^85+4x^86+6x^87+2x^88+3x^90+1x^94+1x^98+1x^104 The gray image is a code over GF(2) with n=140, k=13 and d=58. This code was found by Heurico 1.16 in 11 seconds.