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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+160x^42+4x^43+384x^44+56x^45+592x^46+208x^47+899x^48+440x^49+1064x^50+600x^51+1106x^52+488x^53+882x^54+208x^55+509x^56+40x^57+298x^58+4x^59+150x^60+70x^62+22x^64+6x^66+1x^72

The gray image is a code over GF(2) with n=204, k=13 and d=84.
This code was found by Heurico 1.16 in 4.23 seconds.