The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+72x^61+458x^62+766x^63+1559x^64+2310x^65+3744x^66+4738x^67+6452x^68+7354x^69+9507x^70+10652x^71+11807x^72+11646x^73+12136x^74+10536x^75+10072x^76+7956x^77+6474x^78+4482x^79+3399x^80+2054x^81+1362x^82+650x^83+443x^84+210x^85+139x^86+44x^87+26x^88+14x^89+2x^90+4x^91+1x^92+2x^94

The gray image is a code over GF(2) with n=292, k=17 and d=122.
This code was found by Heurico 1.13 in 268 seconds.