The generator matrix

1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 2 1 0 1 0 1 2 0 1 1 1 1 2 2 2 0 1 0 2 2 2 2 0 1 0 1 2 1 2 2 1 0 1 0 1 1 2 1 0 1 1 1 1 0 2 1 1 0 1
0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 1 3 1 2 1 3 1 0 3 2 2 3 1 1 2 1 1 0 2 1 1 0 0 0 2 1 1 2 2 1 1 0 3 1 2 2 0 2 0 1 0 3 0 0 2 1 3 0 0
0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 2 3 0 3 0 3 3 1 1 0 2 2 1 0 1 2 0 1 2 3 2 0 1 2 0 2 3 3 0 3 3 1 2 0 0 3 2 2 2 2 0 3 3 1 2 1 2 2 0
0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 3 0 1 1 2 0 2 1 2 3 2 2 2 0 1 1 1 0 1 2 0 0 3 1 1 3 1 1 1 3 0 2 1 2 3 2 1 1 1 2 0 0 1 2 1 1 2 1 0
0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 2 2 3 3 3 3 2 3 0 0 3 3 3 2 0 3 2 2 1 0 1 1 1 0 2 0 1 1 2 1 2 2 3 1 3 3 3 0 3 0 3 1 2 3 2 3 1 0 1
0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 3 0 0 3 3 1 1 0 0 1 1 2 0 2 3 2 0 0 2 3 2 1 1 0 3 0 0 2 1 2 1 1 2 3 3 2 1 0 1 3 2 3 1 2 2 1 1 1 1
0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 2

generates a code of length 70 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+67x^58+108x^59+204x^60+236x^61+330x^62+342x^63+370x^64+476x^65+402x^66+454x^67+440x^68+460x^69+514x^70+488x^71+430x^72+448x^73+439x^74+392x^75+332x^76+324x^77+244x^78+206x^79+171x^80+84x^81+99x^82+54x^83+32x^84+20x^85+16x^86+4x^87+4x^88+1x^98

The gray image is a code over GF(2) with n=140, k=13 and d=58.
This code was found by Heurico 1.10 in 4.01 seconds.