Prime p₀= 805113135016311047 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 64 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 174 176
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: fzs600
db: batch=73, k=12, 2 40 2 10 2 64

SPT(16)	805112113157260291	0 36 48 52 66 88 118 130 168 180 210 232 246 250 262 298	-1021859050756
STPT(10)	805112390994117551	0 2 36 38 78 80 120 122 156 158	-744022193496
SPT(16)	805112400737536193	0 18 30 56 60 78 98 120 164 186 206 224 228 254 266 284	-734278774854
SPT(20)	805112784821869907	0 42 54 84 92 120 140 144 162 234 302 374 392 396 416 444 452 482 494 536	-350194441140
SPT(16)	805112864190863093	0 54 56 66 104 108 150 164 210 224 266 270 308 318 320 374	-270825447954
SPT(16)	805113041189283373	0 18 70 100 108 144 178 204 214 240 274 310 318 348 400 418	-93827027674
SPT(13)	805113208373854099	0 12 30 42 90 114 132 150 174 222 234 252 264	73357543052
STPT(10)	805113422182070927	0 2 72 74 102 104 132 134 204 206	287165759880
SPT(16)	805113711618394121	0 26 30 98 108 126 128 158 180 210 212 230 240 308 312 338	576602083074
SPT(16)	805113883574250931	0 6 36 42 46 48 76 88 90 102 130 132 136 142 172 178	748557939884
TPT(14)	805114083418036349	0 2 18 20 72 74 102 104 138 140 168 170 180 182	948401725302