The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+74x^65+272x^66+334x^67+586x^68+594x^69+723x^70+582x^71+843x^72+554x^73+723x^74+574x^75+687x^76+428x^77+409x^78+268x^79+187x^80+98x^81+113x^82+50x^83+52x^84+10x^85+14x^87+9x^88+2x^89+2x^91+3x^92

The gray image is a code over GF(2) with n=292, k=13 and d=130.
This code was found by Heurico 1.16 in 4.13 seconds.