The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+56x^51+42x^52+42x^53+53x^54+8x^55+13x^56+6x^57+13x^58+6x^61+3x^62+2x^65+3x^66+8x^69

The gray image is a code over GF(2) with n=108, k=8 and d=51.
This code was found by Heurico 1.16 in 29.9 seconds.