The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+124x^39+255x^40+512x^41+601x^42+1138x^43+1187x^44+1924x^45+1549x^46+1932x^47+1562x^48+1804x^49+1220x^50+1128x^51+547x^52+508x^53+158x^54+88x^55+54x^56+52x^57+23x^58+6x^59+10x^60+1x^62

The gray image is a code over GF(2) with n=188, k=14 and d=78.
This code was found by Heurico 1.16 in 8.24 seconds.