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

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+492x^98+756x^99+528x^100+864x^101+1932x^102+2172x^103+1554x^104+2016x^105+4104x^106+3156x^107+2739x^108+2616x^109+5892x^110+5256x^111+3231x^112+4008x^113+6600x^114+4668x^115+2973x^116+2472x^117+3456x^118+2172x^119+720x^120+312x^121+564x^122+252x^123+21x^124+6x^128+3x^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 10.5 seconds.