The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^57+131x^58+194x^59+211x^60+184x^61+227x^62+268x^63+260x^64+234x^65+253x^66+266x^67+216x^68+232x^69+198x^70+196x^71+210x^72+144x^73+155x^74+118x^75+99x^76+84x^77+53x^78+40x^79+25x^80+18x^81+5x^82+6x^83+2x^84+4x^85+2x^86

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 2.34 seconds.