The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+95x^40+56x^42+8x^43+391x^44+64x^45+418x^46+224x^47+977x^48+448x^49+1120x^50+560x^51+1285x^52+448x^53+772x^54+224x^55+587x^56+64x^57+184x^58+8x^59+185x^60+10x^62+50x^64+11x^68+2x^72

The gray image is a code over GF(2) with n=204, k=13 and d=80.
This code was found by Heurico 1.16 in 4.4 seconds.