The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  X  2  0  1  1  1  1  1  1  2  1  1 X+2  1  1  X  1 X+2 X+2  1  1  1  2  1  1  1  1  1  0  1 X+2  2  0  1  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1  X  1  X  3  2 X+3 X+2  1  1  0  1  0 X+2  0  1 X+3  1  1  3  0  0  X  2 X+2 X+3  2  0  1  0 X+2  1  1  3 X+1  0
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  2  1 X+1  X  0  1  3  0 X+2  1 X+1 X+3  1 X+1  1 X+2  X X+2  0  0 X+1  X  1  0 X+1  1  X X+1  3 X+1  1 X+3  0 X+2  0  2
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  0  2  0  0  0  0  2  0  0  2  0  2  2  0  2  2  2  2  2  2  2  0  2  2  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  2  2  2  2  0  0  2  0  2  0  0  0  0  0  2  2  0  0  0  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  0  2  2  2  2  0  0  2  2  0  2  0  0  0  2  2  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  2  2  0  2  2  2  2  2  0  2  2  2  0  0  2  2  2  0  2  0  0  2  2  0  0  0  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  2  0  2  0  2  0  2  2  2  0  2  0  2  0  0  2  0  2  2  2  2  0  0  0  2  0  2  2  0  2  2  0  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+44x^42+136x^43+267x^44+646x^45+656x^46+1040x^47+1115x^48+1806x^49+1524x^50+1926x^51+1513x^52+1902x^53+1112x^54+1070x^55+631x^56+486x^57+220x^58+170x^59+41x^60+20x^61+24x^62+10x^63+12x^64+4x^65+4x^66+3x^68+1x^72

The gray image is a code over GF(2) with n=204, k=14 and d=84.
This code was found by Heurico 1.16 in 8.91 seconds.