The generator matrix

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

generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+126x^74+380x^75+616x^76+828x^77+954x^78+1194x^79+1058x^80+1380x^81+1226x^82+1330x^83+1140x^84+1378x^85+1014x^86+1044x^87+737x^88+646x^89+412x^90+360x^91+258x^92+84x^93+104x^94+58x^95+26x^96+18x^97+1x^98+2x^99+4x^100+2x^101+2x^102+1x^106

The gray image is a code over GF(2) with n=332, k=14 and d=148.
This code was found by Heurico 1.13 in 5.95 seconds.