The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^58+94x^59+168x^60+236x^61+237x^62+258x^63+244x^64+234x^65+210x^66+268x^67+225x^68+236x^69+220x^70+204x^71+235x^72+192x^73+152x^74+142x^75+115x^76+96x^77+96x^78+50x^79+28x^80+22x^81+25x^82+8x^83+8x^84+8x^85+3x^86

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 2.45 seconds.