The generator matrix

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

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+62x^40+92x^41+169x^42+322x^43+381x^44+392x^45+434x^46+474x^47+427x^48+420x^49+356x^50+202x^51+134x^52+112x^53+50x^54+22x^55+12x^56+8x^57+11x^58+4x^59+5x^60+4x^62+2x^64

The gray image is a code over GF(2) with n=188, k=12 and d=80.
This code was found by Heurico 1.16 in 0.604 seconds.