The generator matrix

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

generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+28x^74+174x^75+50x^76+148x^77+62x^78+212x^79+52x^80+40x^81+26x^82+152x^83+22x^84+36x^85+9x^86+4x^87+2x^88+1x^96+2x^106+2x^107+1x^118

The gray image is a code over GF(2) with n=316, k=10 and d=148.
This code was found by Heurico 1.16 in 0.39 seconds.