The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  X  X  0  X  X  X  1  X  1  1  2  1  1  X  X  2  0  1  1  X  X  X  1  1  1  1  1  X  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  0  2  2  X X+2  X  0  0  2 X+2 X+2  X  X  X  X  0  X X+2  X  0  X X+2  2 X+2  2  2 X+2  X  0  0  X  2  X  2  2 X+2  2  2  X X+2  2  X  2 X+2 X+2  X X+2  0  2  X  X  X  X X+2 X+2  0  0 X+2  X  2  0  0  X X+2  0  X X+2
 0  0  X  0  0  0  0  0  0  0  0  0  2 X+2 X+2 X+2  X X+2 X+2  X  2  2 X+2 X+2  0  0  X  X  X X+2 X+2 X+2  2  2 X+2  X  X  2  X X+2  X  0  0  X  2  2 X+2  X  2  2  0  2 X+2  0  X  2  X  X X+2  2  X X+2  X X+2 X+2  X  X X+2 X+2  X  0  0 X+2  X
 0  0  0  X  0  0  2 X+2  X  X  X  X  2 X+2  X  2  2  0  2  2  2  2  2  X X+2  X  2  X X+2 X+2  X X+2  0  2  0  0  0 X+2  0  0 X+2  X  X  0  X  0  2  2 X+2  X  2  2  X  X  2  2  0  X  2 X+2  0  0  X  0  0  X  X X+2  X  2 X+2  0  2 X+2
 0  0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  X  X  0  2  X  0 X+2 X+2  X X+2  X  2  2  X  2  2  0 X+2  2  0 X+2  X X+2  2  0 X+2  0 X+2  0  0  0  2  X  0 X+2  0 X+2  2  2  0 X+2  0  X  0  X  2 X+2  2  0  0 X+2  X X+2  2  0  X  X X+2  2  X X+2
 0  0  0  0  0  X  X  2 X+2  X X+2  2  X  X  0  X  0 X+2 X+2  0  X  2  2 X+2  2  X X+2 X+2  2  X  2  2 X+2  0  X X+2  0  0  2  2  0  2 X+2  X  X  2  2 X+2  2  2  0 X+2  2 X+2  0  X X+2  0  2 X+2  X  0 X+2  2  0  X  0  X  2 X+2  X  2 X+2 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+146x^64+396x^66+36x^67+579x^68+128x^69+650x^70+292x^71+903x^72+560x^73+994x^74+576x^75+841x^76+308x^77+644x^78+116x^79+420x^80+24x^81+224x^82+4x^83+189x^84+4x^85+82x^86+49x^88+18x^90+7x^92+1x^112

The gray image is a code over GF(2) with n=296, k=13 and d=128.
This code was found by Heurico 1.16 in 6.7 seconds.