The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1 2a+2 2a+2  1  1  1  1  0 2a 2a+2  1  1  1  1  1  1  1  1 2a  1  1  1  1  1  1  1  1  1  1  2  1  1  1 2a  1  1  1  1  1  1  1  1  1  2  1 2a+2  1  0
 0  1  0  0  0 2a+2  1 3a+2 3a+3 2a+3 2a+3  a a+1 3a+3  1  1 3a+2  1 a+1  a  1  1  1 2a+2 3a+2 3a+2 3a+1 2a+1  1 a+2 a+2  1 a+1 2a+1  1 2a+1 a+1  3 2a+1 2a+2 3a+3 a+3  2 2a+2 a+2 a+1  1 3a+3  a a+1 a+3 3a+3 2a 2a+2 3a  1  1  0  1 3a+1  1
 0  0  1  1  a 3a+3  1  3  1  a  0  2 3a 3a+3  3 3a+3 3a+1 3a+3  0 a+2  a 3a+1 2a+2 2a+3  3  2 2a+3  1 a+2  a a+1 2a+3  a 2a+1 a+1  2  2 2a+2 3a  2 a+3 2a+3  1  0 3a+3  0 3a+2  a  3 a+2 a+2  1 a+1 a+1  1  2 2a 3a+3 2a 3a+1 3a+2
 0  0  0 2a+2  0  0  0  2  2  2 2a+2 2a 2a 2a 2a 2a+2 2a+2  2 2a+2 2a  2 2a+2  0 2a  0  0 2a+2 2a 2a+2  0 2a+2 2a 2a+2  0  0  2 2a 2a 2a+2 2a  2  2  0  2 2a  0 2a+2  2  0 2a  0  0 2a  2 2a+2 2a+2 2a 2a 2a  0  0
 0  0  0  0  2 2a+2 2a  2 2a+2 2a 2a  2  0 2a  2 2a  2 2a+2  2 2a  0  0 2a+2  2 2a+2 2a 2a+2  0  0 2a 2a 2a+2  0 2a+2  0 2a 2a+2  2 2a+2  0  2  2 2a+2 2a+2  0 2a+2 2a 2a 2a  2 2a 2a+2 2a  0 2a+2 2a+2 2a  2  2 2a 2a+2

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+432x^167+567x^168+120x^169+516x^170+2136x^171+1743x^172+264x^173+876x^174+4308x^175+2517x^176+504x^177+1488x^178+5424x^179+3717x^180+528x^181+2148x^182+7800x^183+3780x^184+696x^185+2052x^186+7128x^187+4038x^188+696x^189+1428x^190+4836x^191+2283x^192+216x^193+648x^194+1536x^195+618x^196+48x^197+60x^198+192x^199+108x^200+33x^204+12x^208+21x^212+9x^216+6x^220+3x^224

The gray image is a code over GF(4) with n=244, k=8 and d=167.
This code was found by Heurico 1.16 in 75.8 seconds.