The generator matrix

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

generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+29x^74+40x^75+140x^76+112x^77+326x^78+192x^79+578x^80+240x^81+886x^82+280x^83+1154x^84+320x^85+1156x^86+280x^87+854x^88+240x^89+552x^90+192x^91+289x^92+112x^93+93x^94+40x^95+30x^96+16x^98+12x^100+6x^102+8x^104+4x^106+5x^108+3x^110+1x^112+1x^122

The gray image is a code over GF(2) with n=340, k=13 and d=148.
This code was found by Heurico 1.16 in 6 seconds.