The generator matrix

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

generates a code of length 62 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+276x^167+735x^168+888x^169+1560x^170+1896x^171+2934x^172+3132x^173+4164x^174+4320x^175+5940x^176+5964x^177+6996x^178+7728x^179+10410x^180+9552x^181+11748x^182+11688x^183+13908x^184+12876x^185+15468x^186+13500x^187+16110x^188+14400x^189+14664x^190+12864x^191+13542x^192+9396x^193+9612x^194+6888x^195+6096x^196+4368x^197+2916x^198+2052x^199+1719x^200+828x^201+444x^202+228x^203+231x^204+36x^205+12x^206+18x^208+15x^212+6x^216+9x^220+3x^224+3x^228

The gray image is a linear code over GF(4) with n=248, k=9 and d=167.
This code was found by Heurico 1.16 in 244 seconds.