The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0  2  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  2  0  2  2  2  0  0  0  0  0  0  2  2  2  2  0  2  2
 0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  0  2  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  2  2  0  2  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  0  2  2  2  0  0  0  2  2  2  2  0  0  2  0  2  2  2  0  0  2  2  0  2  2  2  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  2  0  0  0  2  2  0  2  0  0  0  2  0  2  2  0  2  2  2  2  0  0  2  2  0  0  0  2  2  0  0  2  2  0  0  2  0  2  2  0  0  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  0  0  0  0  0  0  2  2  0  2  2  0  2  2  0  2  2  0  0  2  0  0  2  2  2  0  0  2  2  0  2  0  2  0  2  0  0  2  0
 0  0  0  0  0  0  2  2  0  2  0  2  0  0  2  0  2  0  2  0  2  2  0  2  2  2  2  2  2  2  2  2  2  2  0  0  2  0  0  2  2  0  2  0  2  0  0  0  2

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+30x^44+108x^48+256x^49+64x^50+42x^52+10x^56+1x^96

The gray image is a code over GF(2) with n=196, k=9 and d=88.
This code was found by Heurico 1.16 in 0.0599 seconds.