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  1  1  1  1  1  1  0  0  X  X  2  0  1  0  0  1  0  2  1  1  2  X  X
 0  X  0  0  0  0  0  0  2  2  X X+2  X  0  0  2 X+2 X+2  X  X  X  0  X  X  2 X+2  X X+2  2 X+2  X  2  2  X  0  0  0 X+2  0  X X+2  X  2  0  X  0  X X+2  2 X+2 X+2
 0  0  X  0  0  0  0  0  0  0  0  0  2 X+2 X+2 X+2  X X+2 X+2  X  2 X+2  X  2  X  X  X  2  X  X  0  X  2  0  X  2  X X+2  X  2  X  2  X  2  0  2 X+2  2  X  2  0
 0  0  0  X  0  0  2 X+2  X  X  X  X  2 X+2  X  2  2  0  2  2  2  2  X X+2  2  X X+2  X  X X+2  2  X  X  0  X  2  2  0  2  0 X+2  X  2  2  0  X  0  X X+2 X+2  2
 0  0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  X  X  0  2  X  0 X+2 X+2 X+2  X  0 X+2 X+2  2  0  0  2  X  2 X+2  0  2  2  0  X  X  2 X+2  2  X  0  2  2  2  2  2  X  2
 0  0  0  0  0  X  X  2 X+2  X X+2  2  X  X  0  X  0 X+2 X+2  0  X  2 X+2  X  X  2  0  0  2  X  2 X+2  0  2  X  X X+2  2  0  0  2 X+2 X+2  0  2  0 X+2  2  2  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+120x^42+416x^44+36x^45+636x^46+192x^47+810x^48+520x^49+1124x^50+596x^51+1121x^52+436x^53+840x^54+232x^55+533x^56+32x^57+322x^58+4x^59+142x^60+56x^62+16x^64+6x^66+1x^76

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 seconds.