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  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
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  2  0  2  2  2  0  2  0  2  2  0  2  2  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  2  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  0  2  0  2  2  2  0  2  0  2  2  2  2  0  2  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  2  2  0  2  0  0  0  2  2  2  0  0  0  2  0  2  2  0  0  2  0  2  0  0  2  0  0  2  2  0  2  2  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  2  0  2  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  2  2  2  0  2  0  2  2  2  2  2  2  2  0  2  0  2  2  0  2  0  0  2  0  0  0  2  0  0  0  0  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  2  2  0  2  2  2  2  0  0  0  2  0  0  2  2  0  2  0  2  2  0  2  2  0  2  0  0  2  2  2  2  0  0  2  2  0  0  0  0  0  0
 0  0  0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  0  2  0  2  2  2  0  0  0  2  2  0  2  2  2  2  0  0  2  2  2  0  0  0  2  2  2  2  2  0  2  0  0  2  2  0  0  0  0  0  0  0

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+13x^68+50x^72+384x^74+50x^76+13x^80+1x^148

The gray image is a code over GF(2) with n=296, k=9 and d=136.
This code was found by Heurico 1.16 in 0.221 seconds.