The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1 X+2  1  1  2  1  1 X+2  1  1  X  1  1  0  1  1 X+2  1  1  0  2  1  1  1  1  1  1  X  1  1  X  1  1
 0  1 X+1 X+2  1  1  0 X+1  1  3 X+2  1  0 X+1  1 X+2  3  1  2 X+3  1 X+2  3  1  X  3  1 X+1  0  1 X+2 X+1  1 X+3 X+1  1  X X+1 X+2 X+3  3  3  X  1 X+1  1  2 X+3 X+1
 0  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  2  0  2  0  2  2  0  2  0  2  2  0  0  0  2  0  0  2  2  0  2  0  0  2  0  2  0  2  2  0  2  0  0
 0  0  0  2  0  0  2  0  2  2  2  0  2  2  0  0  0  2  0  2  2  2  0  0  0  0  2  2  0  2  2  2  2  0  2  0  0  0  0  0  2  0  2  2  2  2  2  0  0
 0  0  0  0  2  0  2  2  0  0  2  0  0  2  2  0  2  2  2  0  2  2  0  2  2  0  0  2  0  0  0  0  2  2  2  0  2  2  0  0  2  0  0  2  0  0  2  0  0
 0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  0  2  0  0  2  2  2  0  0  2  0  2  2  0  2  2  0  0  0  2  0  0  2  2  0  0  2  0  2  0  2  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+64x^44+60x^45+144x^46+100x^47+139x^48+72x^49+99x^50+88x^51+106x^52+60x^53+68x^54+4x^55+8x^56+8x^58+1x^66+2x^68

The gray image is a code over GF(2) with n=196, k=10 and d=88.
This code was found by Heurico 1.16 in 0.081 seconds.