The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+139x^48+196x^50+191x^52+124x^54+120x^56+72x^58+70x^60+44x^62+44x^64+12x^66+9x^68+2x^76

The gray image is a code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.16 in 0.162 seconds.