The generator matrix

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

generates a code of length 43 over F4[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+456x^115+366x^116+624x^117+816x^118+1680x^119+1734x^120+1788x^121+1704x^122+3216x^123+2691x^124+3048x^125+2484x^126+4584x^127+4071x^128+3912x^129+3336x^130+5976x^131+4209x^132+3792x^133+2736x^134+4176x^135+2790x^136+1884x^137+1104x^138+1296x^139+501x^140+312x^141+108x^142+120x^143+12x^144+9x^148

The gray image is a linear code over GF(4) with n=172, k=8 and d=115.
This code was found by Heurico 1.16 in 10 seconds.