The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+25x^44+38x^45+35x^46+44x^47+30x^48+20x^49+12x^50+16x^51+7x^52+2x^53+8x^54+1x^56+4x^57+4x^58+4x^59+5x^62

The gray image is a code over GF(2) with n=96, k=8 and d=44.
This code was found by Heurico 1.10 in 0 seconds.