The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+30x^46+62x^47+100x^48+126x^49+122x^50+142x^51+147x^52+136x^53+147x^54+130x^55+124x^56+148x^57+127x^58+104x^59+90x^60+72x^61+56x^62+62x^63+39x^64+30x^65+20x^66+10x^67+11x^68+7x^70+2x^71+3x^74

The gray image is a code over GF(2) with n=110, k=11 and d=46.
This code was found by Heurico 1.16 in 0.499 seconds.