Prime p₀= 1082003122192461737 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 16 2 22 2 16 2 70 2 (?)
a_n: 0 2 72 74 90 92 114 116 132 134 204 206
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: 206
Found by: Theadalus
db: batch=76, k=12, 2 70 2 16 2 22

SPT(16)	1082002302142976083	0 24 36 90 100 126 130 148 156 174 178 204 214 268 280 304	-820049485654
STPT(10)	1082002374088166129	0 2 18 20 30 32 42 44 60 62	-748104295608
STPT(10)	1082002523850361871	0 2 6 8 18 20 30 32 36 38	-598342099866
TPT(14)	1082002531036735127	0 2 24 26 30 32 84 86 162 164 180 182 210 212	-591155726610
STPT(10)	1082002888220361461	0 2 6 8 48 50 90 92 96 98	-233972100276
SPT(16)	1082003050054661509	0 4 34 54 60 64 78 88 210 220 234 238 244 264 294 298	-72137800228
SPT(16)	1082003754939911959	0 4 42 52 84 100 130 154 210 234 264 280 312 322 360 364	632747450222
TPT(14)	1082003921479893479	0 2 12 14 42 44 90 92 198 200 210 212 222 224	799287431742
STPT(10)	1082004580281689807	0 2 30 32 42 44 54 56 84 86	1458089228070
SPT(16)	1082005290530843299	0 40 64 84 90 124 150 190 348 388 414 448 454 474 498 538	2168338381562
SPT(16)	1082005320453937709	0 18 48 60 114 152 180 188 294 302 330 368 422 434 464 482	2198261475972