The generator matrix

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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+72x^57+129x^58+180x^59+191x^60+210x^61+252x^62+230x^63+265x^64+254x^65+254x^66+216x^67+221x^68+242x^69+216x^70+224x^71+200x^72+160x^73+109x^74+128x^75+109x^76+74x^77+52x^78+42x^79+30x^80+10x^81+12x^82+4x^83+7x^84+2x^85

The gray image is a code over GF(2) with n=134, k=12 and d=57.
This code was found by Heurico 1.16 in 2.5 seconds.