The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+196x^90+840x^91+1005x^92+1098x^93+972x^94+946x^95+755x^96+760x^97+511x^98+340x^99+160x^100+194x^101+136x^102+130x^103+78x^104+28x^105+23x^106+16x^107+1x^116+2x^118

The gray image is a code over GF(2) with n=760, k=13 and d=360.
This code was found by Heurico 1.16 in 1.69 seconds.