The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+80x^65+314x^66+456x^67+881x^68+886x^69+1174x^70+1050x^71+1640x^72+1212x^73+1514x^74+1128x^75+1367x^76+1074x^77+1109x^78+642x^79+748x^80+418x^81+307x^82+134x^83+122x^84+72x^85+25x^86+12x^87+7x^88+2x^89+5x^90+2x^91+2x^92

The gray image is a code over GF(2) with n=296, k=14 and d=130.
This code was found by Heurico 1.16 in 14 seconds.