The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+236x^70+214x^72+226x^74+149x^76+122x^78+48x^80+8x^82+1x^84+6x^86+10x^90+2x^92+1x^104

The gray image is a code over GF(2) with n=296, k=10 and d=140.
This code was found by Heurico 1.16 in 7.21 seconds.