The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+74x^56+122x^57+142x^58+228x^59+240x^60+250x^61+222x^62+228x^63+254x^64+222x^65+250x^66+274x^67+241x^68+212x^69+199x^70+162x^71+175x^72+154x^73+109x^74+102x^75+89x^76+58x^77+31x^78+26x^79+12x^80+6x^81+7x^82+4x^83+2x^84

The gray image is a code over GF(2) with n=132, k=12 and d=56.
This code was found by Heurico 1.16 in 2.29 seconds.