The generator matrix

 1  0  0  0  1  1  1  X X+2  1  1  1 X+2  0  1  0  2  1  1  0  2  1  1  X  1  1 X+2  0  1  1  0  1  1  1  1  2  1  2  1  0 X+2 X+2  1  1  1  2  X  1  2  2  2  X  1  1  1  1  1  1  X  1  1  1  X  X  1  1  2 X+2  2  0  2  1 X+2  1
 0  1  0  0  X  0 X+2 X+2  1  3  3  3  1  1 X+1 X+2  1 X+3  2  1  1  0 X+1  1 X+3  0  X  1  2 X+1  X  1  0 X+1  3  0  0 X+2  1  1  1  1  2  X  2  0  1  0  X  X  X  2  1  3  3  X X+1  2  0 X+3 X+1 X+3  1  1 X+1  2  1 X+2  1  0  1  1  2  0
 0  0  1  0  X  1 X+3  1  3 X+2  3  2  0 X+3  1  1  0  0  X  1  X  X X+3 X+3  1 X+3 X+2  0  2  0  1 X+1  0  2  0  1 X+1  1 X+1 X+3  X  X  1 X+1  1  1  0  3  1  1  1  1  2  1  1  2  1 X+2  2 X+2 X+2 X+3  1  0 X+3  X  0  1 X+1 X+2 X+1  1  1  0
 0  0  0  1 X+1  1  X X+3  0  2  0 X+3 X+3 X+1  3  0 X+2 X+2 X+2  0  1 X+3 X+1  3  2  1  1  1 X+1 X+3  1 X+1 X+2  2  3  2  0  3  0  X  2 X+2 X+3  3  1 X+2  X  2 X+1  X X+1 X+2 X+1  X X+2  1  X X+1  1  0  X X+2 X+2 X+2  2  0 X+3 X+1  1  1  3  1 X+2  0
 0  0  0  0  2  0  2  2  2  2  0  0  2  0  2  0  0  2  0  2  2  2  2  0  0  0  0  2  0  2  0  0  2  0  0  2  2  2  2  0  2  2  2  0  2  0  0  0  0  2  2  0  2  2  0  2  0  0  2  2  0  2  0  0  0  2  0  2  0  0  2  2  0  0
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  2  0  0  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2  0  2  0  2  0  0  0  0  0  2  0  2  2  0  2  0  0  2  0  0  2  0  0  0  2  2  2  0  0  0  2  0  2  0  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+62x^65+262x^66+576x^67+808x^68+964x^69+1083x^70+1276x^71+1384x^72+1224x^73+1350x^74+1446x^75+1258x^76+1138x^77+1003x^78+854x^79+594x^80+392x^81+299x^82+182x^83+108x^84+54x^85+30x^86+14x^87+4x^88+2x^89+5x^90+4x^91+2x^92+4x^93+1x^96

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 13.5 seconds.