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

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+68x^39+117x^40+148x^41+197x^42+218x^43+318x^44+396x^45+391x^46+388x^47+449x^48+372x^49+324x^50+288x^51+108x^52+100x^53+86x^54+56x^55+23x^56+8x^57+21x^58+6x^59+6x^60+3x^62+2x^64+2x^66

The gray image is a code over GF(2) with n=188, k=12 and d=78.
This code was found by Heurico 1.16 in 18.3 seconds.