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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+36x^54+62x^55+141x^56+198x^57+208x^58+234x^59+297x^60+346x^61+362x^62+384x^63+369x^64+394x^65+319x^66+202x^67+148x^68+118x^69+64x^70+64x^71+51x^72+32x^73+24x^74+12x^75+11x^76+9x^78+2x^79+6x^80+1x^82+1x^94

The gray image is a code over GF(2) with n=252, k=12 and d=108.
This code was found by Heurico 1.16 in 1.27 seconds.