The generator matrix

 1  0  1  1  1 X+2  1  1  X  1  1  2  1  1 2X  1  1 3X+2  1  1 2X+2  1  1 3X  1  1  X  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  X 3X+2
 0  1 X+1 X+2 2X+3  1  X 3X+3  1  2 2X+1  1 2X X+1  1 3X+2  3  1 3X X+3  1 2X+2  1  1  0 3X+2 2X+2  2  X 3X 2X X+1 3X+1 2X+3 2X+3 X+3 2X+1  0  1 3X+1 3X+2  3 2X 2X+1 3X+3  1  1
 0  0 2X+2  2 2X 2X+2 2X+2  2  2 2X  0 2X 2X+2  0 2X+2  0 2X+2  0 2X 2X  2  2  2 2X 2X 2X+2 2X+2  0  2  0  2 2X  2  0  2  0 2X 2X+2 2X+2 2X+2 2X 2X 2X 2X+2  0 2X+2 2X

generates a code of length 47 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+272x^45+205x^46+244x^47+61x^48+112x^49+49x^50+68x^51+2x^52+8x^53+1x^58+1x^70

The gray image is a code over GF(2) with n=376, k=10 and d=180.
This code was found by Heurico 1.16 in 44.6 seconds.