The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+147x^64+48x^65+476x^66+268x^67+893x^68+568x^69+1228x^70+880x^71+1672x^72+1292x^73+1738x^74+1264x^75+1458x^76+964x^77+1182x^78+608x^79+727x^80+196x^81+380x^82+52x^83+173x^84+4x^85+100x^86+42x^88+14x^90+4x^92+2x^94+3x^96

The gray image is a code over GF(2) with n=296, k=14 and d=128.
This code was found by Heurico 1.16 in 17.3 seconds.