The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+48x^62+96x^63+224x^64+320x^65+427x^66+640x^67+755x^68+1026x^69+1184x^70+1378x^71+1527x^72+1358x^73+1444x^74+1382x^75+1164x^76+1038x^77+772x^78+504x^79+330x^80+230x^81+174x^82+136x^83+74x^84+56x^85+39x^86+22x^87+18x^88+4x^89+7x^90+2x^91+3x^92+1x^94

The gray image is a code over GF(2) with n=292, k=14 and d=124.
This code was found by Heurico 1.16 in 17.5 seconds.