The generator matrix

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

generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+36x^74+20x^75+104x^76+128x^77+203x^78+376x^79+290x^80+800x^81+395x^82+1516x^83+510x^84+2144x^85+568x^86+2320x^87+562x^88+2144x^89+481x^90+1516x^91+369x^92+800x^93+245x^94+376x^95+147x^96+128x^97+63x^98+20x^99+29x^100+35x^102+22x^104+15x^106+11x^108+4x^110+2x^112+2x^114+1x^116+1x^118

The gray image is a code over GF(2) with n=348, k=14 and d=148.
This code was found by Heurico 1.16 in 23.1 seconds.