The generator matrix

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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+41x^54+70x^55+102x^56+150x^57+141x^58+156x^59+134x^60+128x^61+145x^62+108x^63+115x^64+96x^65+90x^66+100x^67+93x^68+96x^69+59x^70+54x^71+42x^72+34x^73+33x^74+24x^75+20x^76+8x^77+3x^78+4x^80+1x^84

The gray image is a code over GF(2) with n=126, k=11 and d=54.
This code was found by Heurico 1.16 in 0.564 seconds.