The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+90x^45+193x^46+202x^47+177x^48+244x^49+334x^50+246x^51+131x^52+282x^53+362x^54+260x^55+190x^56+212x^57+348x^58+220x^59+112x^60+154x^61+141x^62+82x^63+24x^64+40x^65+30x^66+14x^67+4x^68+2x^69+1x^84

The gray image is a code over GF(2) with n=108, k=12 and d=45.
This code was found by Heurico 1.10 in 518 seconds.