The generator matrix

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

generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+136x^91+244x^92+224x^93+88x^94+124x^95+282x^96+104x^97+80x^98+140x^99+174x^100+128x^101+56x^102+100x^103+60x^104+56x^105+12x^107+24x^108+6x^112+6x^116+2x^120+1x^144

The gray image is a code over GF(2) with n=388, k=11 and d=182.
This code was found by Heurico 1.16 in 2.12 seconds.