The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+332x^40+512x^41+814x^42+1092x^43+1430x^44+1376x^45+1758x^46+1680x^47+1941x^48+1544x^49+1290x^50+964x^51+764x^52+432x^53+282x^54+72x^55+70x^56+8x^57+16x^58+6x^60

The gray image is a code over GF(2) with n=188, k=14 and d=80.
This code was found by Heurico 1.16 in 7.78 seconds.