The generator matrix

 1  0  0  0  1  1  1  X  1 aX  1  1  1  1  1  1  1  1  1  1  1 (a+1)X  1  0  1 (a+1)X  1  1 aX  1 (a+1)X  1  X  1 aX  1  1
 0  1  0  0  X  1 X+1  1 (a+1)X  1 (a+1)X+1 (a+1)X+a a+1 aX  1 X+a a+1 aX+a  X X+1 (a+1)X+a+1  1 aX  1 (a+1)X+1  X (a+1)X+a+1 (a+1)X+1  1 (a+1)X  1  X  1  1  1  0 (a+1)X+a+1
 0  0  1  0 (a+1)X+1  1 (a+1)X (a+1)X+1 aX+1  a aX aX+a a+1  0 X+a X+1 X+1 (a+1)X aX+a+1 X+a+1  a aX+a aX+a+1 aX+a  X  1 aX+1 aX+1  0 aX+a aX+1 aX+a X+a+1 aX+1  1 X+a X+a
 0  0  0  1 a+1  X aX+a+1 aX+a+1  a aX (a+1)X+a aX+1  1 X+1 aX+a aX+1 X+1 X+a+1 X+a X+a a+1 a+1 (a+1)X+a+1 X+a  1 X+a+1 (a+1)X+a+1 (a+1)X+1 X+1 aX+a (a+1)X+a+1 aX+a+1 a+1  X (a+1)X aX X+a

generates a code of length 37 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+468x^98+756x^99+228x^100+1080x^101+2172x^102+2544x^103+885x^104+2028x^105+3876x^106+4488x^107+1188x^108+3444x^109+5604x^110+6540x^111+1530x^112+3900x^113+6888x^114+5808x^115+1389x^116+2916x^117+3600x^118+2676x^119+381x^120+456x^121+432x^122+228x^123+18x^124+3x^128+9x^132

The gray image is a linear code over GF(4) with n=148, k=8 and d=98.
This code was found by Heurico 1.16 in 8.66 seconds.