The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^44+44x^46+85x^48+12x^50+33x^52+4x^54+10x^56+4x^58+3x^60+1x^84

The gray image is a code over GF(2) with n=96, k=8 and d=44.
This code was found by Heurico 1.16 in 0.0274 seconds.