The generator matrix

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

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+114x^65+311x^66+468x^67+767x^68+902x^69+1147x^70+1302x^71+1285x^72+1428x^73+1293x^74+1352x^75+1333x^76+1202x^77+998x^78+762x^79+648x^80+446x^81+259x^82+116x^83+96x^84+64x^85+19x^86+28x^87+26x^88+5x^90+4x^91+4x^92+4x^93

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 15.4 seconds.