The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+200x^87+267x^88+554x^89+323x^90+676x^91+285x^92+548x^93+281x^94+488x^95+196x^96+136x^97+33x^98+72x^99+18x^100+8x^101+4x^103+2x^105+2x^110+1x^132+1x^134

The gray image is a code over GF(2) with n=736, k=12 and d=348.
This code was found by Heurico 1.16 in 1.2 seconds.