Prime p₀= 1013309169009116699 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 124 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 168 170 192 194 210 212
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: 212
Found by: schoussi
db: batch=76, k=12, 2 16 2 22 2 124

SPT(16)	1013308297865715143	0 8 24 120 158 218 224 234 284 294 300 360 398 494 510 518	-871143401556
SPT(16)	1013308452010653187	0 16 70 76 82 120 132 160 162 190 202 240 246 252 306 322	-716998463512
STPT(10)	1013308499637764357	0 2 30 32 42 44 54 56 84 86	-669371352342
STPT(10)	1013308611289374077	0 2 12 14 42 44 72 74 84 86	-557719742622
SPT(16)	1013308715079766829	0 20 42 84 92 120 182 198 224 240 302 330 338 380 402 422	-453929349870
SPT(16)	1013309088654042413	0 6 18 24 80 116 128 150 164 186 198 234 290 296 308 314	-80355074286
STPT(10)	1013309455929757079	0 2 42 44 60 62 78 80 120 122	286920640380
SPT(16)	1013309898119206249	0 64 84 90 174 234 238 298 360 420 424 484 568 574 594 658	729110089550
SPT(16)	1013309922011771161	0 10 16 42 46 52 96 112 126 142 186 192 196 222 228 238	753002654462
STPT(10)	1013310274517230511	0 2 6 8 48 50 90 92 96 98	1105508113812
STPT(10)	1013310427146326117	0 2 12 14 42 44 72 74 84 86	1258137209418