The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+540x^98+612x^99+591x^100+888x^101+2232x^102+2040x^103+1350x^104+1980x^105+3852x^106+3348x^107+2694x^108+2652x^109+5784x^110+5532x^111+3609x^112+4116x^113+6204x^114+4776x^115+2862x^116+2172x^117+3792x^118+1884x^119+636x^120+480x^121+636x^122+240x^123+18x^124+12x^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 9.23 seconds.