The generator matrix

 1  0  0  0  0  0  1  1  1  2  1  1  1  1  1  2  1  1  1  0  2  1  1  2  0  1  0  1  2  1  0  1  1  1  1  0  1  2  0  1  1  0  0  0  0  2  1  1  0  1  0  1  0  2  2  1  0  2  0  1  1  2  2  2  1  0  0  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  1  2  2  1  1  3  1  1  1  1  1  1  0  1  0  2  1  0  3  1  1  0  2  2  0  3  1  0  2  3  1  2  2  0  1  1  2  0  3  2  3  2  1  1  3  1  1  1  3  0  0  1  2  1  2  0  0  3  0
 0  0  1  0  0  0  0  0  0  0  1  0  3  3  3  1  1  2  2  0  1  1  2  1  3  3  1  1  1  1  0  1  2  3  0  0  2  1  2  0  1  1  1  2  1  2  0  1  1  2  1  1  0  3  3  2  2  3  1  0  3  1  3  2  0  1  1  0  0  0
 0  0  0  1  0  0  0  1  1  1  3  3  1  0  0  1  3  2  1  0  3  2  0  2  2  0  1  3  1  1  1  2  3  2  2  1  1  3  1  0  2  1  3  0  2  3  2  2  0  3  0  0  1  3  3  0  1  0  3  2  3  3  3  2  1  0  0  2  2  0
 0  0  0  0  1  0  1  1  0  3  2  2  1  3  2  2  3  3  1  3  3  3  0  3  0  2  3  0  0  3  2  1  1  2  3  3  1  1  2  2  1  2  0  1  2  3  1  0  3  3  2  0  0  1  2  1  0  2  3  2  0  0  3  1  0  3  1  2  0  0
 0  0  0  0  0  1  1  2  3  1  0  2  1  2  0  2  2  0  3  3  1  1  1  3  3  3  0  3  1  2  3  1  0  3  1  3  3  3  0  0  2  1  2  1  3  2  3  2  1  2  0  1  1  0  0  0  3  0  2  2  0  2  3  3  0  1  2  1  2  0
 0  0  0  0  0  0  2  0  2  2  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  2  0  0  2  0  0  0  0  0  2  2  2  0  2  0  0  0  2  2  0  2  2  0  0  2  0  2  2  2  0  2  0  0  2  2  2  2  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+66x^58+122x^59+179x^60+246x^61+311x^62+364x^63+393x^64+376x^65+408x^66+428x^67+443x^68+560x^69+468x^70+456x^71+511x^72+476x^73+435x^74+404x^75+349x^76+280x^77+286x^78+222x^79+127x^80+98x^81+63x^82+46x^83+40x^84+10x^85+10x^86+6x^87+4x^88+2x^89+1x^92+1x^102

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 10.6 seconds.