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  X  1  1  1  1  1
 0 X^2+2  0 X^2+2  0 X^2+2  0 X^2+2 X^2+2  0 X^2+2  2 X^2  0  2 X^2+2 X^2  0  2 X^2  0 X^2+2  2 X^2  0 X^2+2  0 X^2  2 X^2+2  2 X^2  0 X^2+2  0  2  2 X^2+2 X^2 X^2+2 X^2 X^2  0 X^2+2  2  2  2  0  0
 0  0  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  0  2  0  2  0  0  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  2  2  2  0  0  0  2  0
 0  0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  2  0  2  2  2  0  0  0  0  2  2  2  0  0  2  0  2  0  2  2  2  0  2  0  2  0  2  0  2  2  2  2
 0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  0  2  2  0  2  2  0  2  0  0  2  0  2  2  0  2  2  2  0  0  0  2  0  0

generates a code of length 49 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+40x^45+16x^46+126x^48+688x^49+96x^50+40x^53+16x^54+1x^96

The gray image is a code over GF(2) with n=392, k=10 and d=180.
This code was found by Heurico 1.16 in 5.92 seconds.