The generator matrix

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

generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+57x^74+62x^75+107x^76+126x^77+169x^78+196x^79+198x^80+298x^81+309x^82+358x^83+413x^84+386x^85+308x^86+284x^87+202x^88+146x^89+123x^90+92x^91+58x^92+56x^93+37x^94+22x^95+37x^96+12x^97+15x^98+8x^99+5x^100+5x^102+2x^103+2x^104+1x^108+1x^134

The gray image is a code over GF(2) with n=336, k=12 and d=148.
This code was found by Heurico 1.16 in 2.11 seconds.