The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1 X+2  1  1  0  1  1  1  0  1 X+2  1  1  1  0  1 X+2  1  1  1  1  1  0  1 X+2  1  1  0  1  1 X+2  0  1 X+2  1  2  1  1  X X+2  1  0  1  2  1 X+2  1  1  1  1  1  X  X X+2 X+2  X  1  2  0  1  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1 X+2  1 X+1  0  1  3  0  3  1 X+2  1 X+1 X+1  3  1  0  1 X+2  3  0 X+1 X+2  1 X+2  1  X X+1  1 X+3 X+2  1  1  3  1  0  1 X+2  3  1  1 X+1  1  X  1 X+1  1  3 X+3 X+1 X+2  X  0  1  1  1  1  0  2  1  3 X+1 X+1
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  2  0  0  0  2  2  2  0  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  2  0  2  0  0  0  2  2  0  2  2  0  0  2  2  0  0  2  0  0  0  0  2  2  2  0  2  0  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  0  2  0  2  0  0  0  0  0  2  2  2  0  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2  2  0  2  2  2  2  2  0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  0  0  2  2  2  2  2  2  2  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  2  0  2  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  2  2  2  2  2  2  2  2  0  0  2  2  0  0  2  2  0  2  2  2  0  0  0  2  0  2  0  2  0  0  2  2  2  0  0  2  2  0  2  2  2  0  0  0  2  2  2  0  2  2  0  2
 0  0  0  0  0  0  2  0  0  0  2  0  2  0  2  0  2  2  0  2  2  2  2  2  2  0  0  2  0  2  2  2  2  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  0  0  2  2  2  0  0  0  2  0  2  2  2  2  2  2  0  0  2  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  0  0  2  0  0  2  2  0  2  0  2  2  0  2  2  2  2  0  2  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  2  2  2  0  0  2  2  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  2  2  0  2  0  2  0  2  0  2  2  0  0  0  0  2  2  0  0  0  2  0  2  0  2  0  2  0  0  0  0  0  2  2  0  2  0  2  0  2  2  0  0  2  0  2  2  2  2  0  0  2  0  2  2  2  0  0
 0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  2  0  0  2  0  0  0  2  0  2  2  0  2  2  0  2  0  2  0  2  0  0  2  0  0  0  2  0  2  2  0  2  0  2  0  2  2  2  0  2  2  0  2  2  0  2  0  0  0  0  0  2  0  2  0  2  2  0  2

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+6x^61+55x^62+32x^63+131x^64+188x^65+242x^66+448x^67+438x^68+954x^69+723x^70+1580x^71+1008x^72+1888x^73+1062x^74+1944x^75+965x^76+1586x^77+737x^78+944x^79+376x^80+452x^81+179x^82+168x^83+103x^84+46x^85+38x^86+4x^87+32x^88+20x^90+11x^92+14x^94+4x^96+1x^98+3x^100+1x^102

The gray image is a code over GF(2) with n=296, k=14 and d=122.
This code was found by Heurico 1.16 in 41.8 seconds.