The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  X  0  1  1  X  1  1  1  1  2  1  1  X  1  1  2  1  1  2  1  X  1  1  X  1  1  1  2 X+2  0  1  2  1  1  1  X  1  1  1  1  X  1 X+2  1  1  1  1  X  2  1  1  2  1  1 X+2  1  0  1  1  1  1
 0  1  1  0 X+3  1 X+1 X+2  1  2  3  1  X X+3  1  1 X+3 X+2  1  3  X  3  0  1 X+2  3  1 X+3  0  1  1 X+1  1  X  1 X+3  0  1 X+1 X+3  2  1  1  1  0  1  X X+2  1  1 X+1  3  X  X  1  0  1 X+3 X+1  0 X+1  1  1 X+3 X+2  1  X  2  1  X  1  3  1  X X+3
 0  0  X  0 X+2  0  2  2  X X+2  0 X+2 X+2  2  0 X+2 X+2 X+2  X  2  0 X+2  X  2 X+2  2  X  0  2  X X+2  2  0 X+2  2  X X+2  X  X  X  X  2  2  0  0  X  X  2  0  X  2 X+2  0  0  0  0  2 X+2  X  0 X+2  0 X+2 X+2  2 X+2  X X+2  2 X+2 X+2  X  0  X X+2
 0  0  0  X  0  0  0  2  2  2  2  0  2 X+2 X+2  X  X X+2  X X+2 X+2 X+2  X  X  0  2  X  2  0  X  0  X X+2  2 X+2  X X+2  0  0 X+2  0  X  0  0 X+2  X  2 X+2  2 X+2  0 X+2 X+2  2  X  0  0  X  2  X X+2  2  2  0  0 X+2  0  2  2  0 X+2  X  X  X  0
 0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  2  2  2  2  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  2  0  0  0  0  2  2  2  0  2  0  0  0  2  0  2  0  0  0
 0  0  0  0  0  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  2  2  2  2  2  2  2  2  0  2  0  2  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+177x^68+112x^69+330x^70+272x^71+413x^72+272x^73+428x^74+224x^75+430x^76+272x^77+324x^78+272x^79+249x^80+112x^81+102x^82+40x^84+24x^86+23x^88+6x^90+6x^92+2x^94+2x^96+3x^100

The gray image is a code over GF(2) with n=300, k=12 and d=136.
This code was found by Heurico 1.16 in 1.27 seconds.