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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+68x^51+127x^52+154x^53+213x^54+240x^55+370x^56+542x^57+605x^58+652x^59+787x^60+788x^61+774x^62+746x^63+539x^64+426x^65+335x^66+254x^67+173x^68+120x^69+89x^70+78x^71+39x^72+16x^73+27x^74+10x^75+9x^76+2x^77+4x^78+2x^80+1x^82+1x^88

The gray image is a code over GF(2) with n=244, k=13 and d=102.
This code was found by Heurico 1.16 in 5.38 seconds.