The generator matrix

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

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+102x^64+380x^65+678x^66+1040x^67+1447x^68+1878x^69+1986x^70+2226x^71+2581x^72+2724x^73+2803x^74+2672x^75+2679x^76+2402x^77+2068x^78+1674x^79+1242x^80+896x^81+488x^82+314x^83+222x^84+118x^85+66x^86+36x^87+14x^88+16x^89+7x^90+6x^91+2x^93

The gray image is a code over GF(2) with n=296, k=15 and d=128.
This code was found by Heurico 1.13 in 18.2 seconds.