The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+317x^68+332x^69+690x^70+496x^71+867x^72+588x^73+856x^74+492x^75+804x^76+408x^77+588x^78+352x^79+519x^80+220x^81+236x^82+124x^83+167x^84+52x^85+58x^86+8x^87+11x^88+4x^90+2x^96

The gray image is a code over GF(2) with n=300, k=13 and d=136.
This code was found by Heurico 1.16 in 5.29 seconds.