The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  X a^2*X  1  1 a^2*X  1  1  0  1  1  1 a*X a*X  0  1  1  1  1  1  1  1  1  1  1  X  1  0  1  1  1  0  1  1  1  1  1  1  1  1  X  X  1  0  X  1  1  1  X  0  1  1  1  1  1  1 a*X  0  1 a^2*X  1  1  1  0  1  1  1  1  1  1  1  1  1  1  X  1  1 a*X  X  1  1  1 a^2*X
 0  1  0  0  0  0 a^2*X a^2*X a^2*X  X  0 a^2*X  X  1 a*X+1 X+a  1  1  1 a^2 a^2*X+1  1 X+1 a^2*X+a  1  a a*X+1 a*X+a^2  1  1  1 a*X+a^2  a X+a a^2*X+1  1 a^2*X+a^2 a^2*X+1 a*X+a a^2*X+a a^2*X+a  1  X a*X X+a^2 a*X+a X+a^2  1  0  1 a*X+a X+a^2  X  a a^2*X+a^2 a*X+a  1  1 a^2*X+a^2  1  1 a^2*X+a^2  1 X+a a*X  1 X+a^2 X+1 X+1  0 a*X X+1 a^2*X  1  1  1 a^2*X+a a*X+a X+a^2  0  0 a*X+1  X  0 a^2*X+a^2 a^2*X X+a^2 a^2*X+a^2 a^2*X X+a^2  X a^2*X+a^2 X+a^2  X  1  a  a a^2*X+a  1
 0  0  1  0  0  X  0 a^2*X+1  a  1  a a*X+1 a^2  1  X a*X+a^2 a^2*X+1 a^2*X a*X+a X+a a*X+a  1 a^2*X+a a^2*X a^2  1 a^2 a^2*X a*X+a^2 a^2*X+a a^2*X+1  1 a^2*X+a a^2*X  0 X+a^2 a^2*X+a^2 a^2*X+a X+a^2  1 a*X+a X+a a*X+a^2  1 a*X a*X+a^2 X+1 a*X+a^2 X+a a^2*X+1  0 a*X+1  a  a a^2*X a^2 a*X+a X+1 X+a^2 a*X a*X+a^2 a*X+a a^2 a*X  1 a^2*X X+a^2 a*X+1 a^2*X+1 a*X+a^2 a^2 a^2*X+a  1 a*X  a a^2*X+a X+1  a a*X+a  X X+a^2 a^2 a*X+1 a*X+1 a^2 a*X+1 a^2*X a*X+1 X+a^2 a*X  1 X+a a*X+1  1 X+a^2 a*X+a^2 a*X a^2*X a*X
 0  0  0  1  1 a^2*X+a a^2 a^2 X+a^2  a  X a^2*X+1  0 a*X a^2*X+a^2 X+1 a^2*X+1  a a^2*X a*X+a X+a^2 a*X  X  1 a*X+a  a a*X+a a*X+1 X+1  1 a*X+a  0 a^2  a X+a  X  a  1 a*X  0 a^2*X a^2 a^2*X+1 a^2*X+a^2 a*X+a^2 a^2 a*X+a^2 a^2 a^2*X+1  a a^2*X+a  1 a^2*X+a X+a X+a  0 a*X+a a^2*X+a^2 a^2*X+1 a^2*X+a a*X X+1 X+a^2 a^2 X+a a*X+1 a*X+1 a*X+a a^2*X+a^2 a^2*X+a a^2*X+1 a*X+a^2 X+a^2 X+a^2 a*X+1 a^2*X+a^2 X+a^2 a*X+a X+a^2  1 a^2 X+1  0  0 a^2*X a^2 a^2*X a*X+a a^2*X+1 X+a  1 a^2*X+1 X+a a^2*X a^2*X a*X+1  a a*X X+a^2
 0  0  0  0 a^2*X a*X  X  0 a*X a^2*X  0  0 a*X  0  0  0 a*X  X  X a^2*X a^2*X a*X a*X a*X a*X  X  X a*X a^2*X a*X a^2*X  X  0 a^2*X a*X a^2*X a*X  0  X  0 a*X  0 a^2*X a*X  X a*X a*X  X  0  0  0 a*X  X a^2*X a^2*X a^2*X  0  0 a^2*X a^2*X  X a^2*X a^2*X a^2*X  0 a^2*X  X  X  X  X  0  X a^2*X  0 a^2*X a*X  0  0 a^2*X a^2*X  0 a*X  X a^2*X  X a*X  X a*X a*X a^2*X  X a*X  X a^2*X  0  X  0 a^2*X a^2*X

generates a code of length 99 over F4[X]/(X^2) who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+552x^275+927x^276+1056x^277+684x^278+2292x^279+3129x^280+2796x^281+1656x^282+4764x^283+6099x^284+5124x^285+2568x^286+7248x^287+8253x^288+7584x^289+3552x^290+10092x^291+11970x^292+10368x^293+4824x^294+13728x^295+13692x^296+11676x^297+5880x^298+13872x^299+15102x^300+11616x^301+5196x^302+12756x^303+11988x^304+9444x^305+3228x^306+8784x^307+7590x^308+5472x^309+2340x^310+4164x^311+3657x^312+1848x^313+648x^314+1380x^315+1095x^316+540x^317+132x^318+228x^319+354x^320+60x^321+12x^322+12x^323+63x^324+9x^328+18x^332+12x^336+3x^344+6x^352

The gray image is a linear code over GF(4) with n=396, k=9 and d=275.
This code was found by Heurico 1.16 in 841 seconds.