The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+68x^58+146x^59+149x^60+210x^61+228x^62+252x^63+259x^64+242x^65+236x^66+216x^67+251x^68+230x^69+226x^70+232x^71+204x^72+162x^73+162x^74+156x^75+127x^76+88x^77+78x^78+74x^79+32x^80+28x^81+22x^82+10x^83+1x^84+4x^86+2x^87

The gray image is a code over GF(2) with n=136, k=12 and d=58.
This code was found by Heurico 1.16 in 2.38 seconds.