Prime p₀= 2616793916668677089 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2616792901895937629	0 20 44 54 72 170 174 182 210 218 222 320 338 348 372 392	-1014772739460
SPT(16)	2616793143512567933	0 68 78 84 110 128 144 198 200 254 270 288 314 320 330 398	-773156109156
SPT(16)	2616793152442600559	0 32 114 150 234 260 294 308 354 368 402 428 512 548 630 662	-764226076530
SPT(16)	2616793434143096731	0 12 28 42 66 96 106 112 216 222 232 262 286 300 316 328	-482525580358
SPT(16)	2616793448057941909	0 22 28 42 52 138 150 204 298 352 364 450 460 474 480 502	-468610735180
SPT(16)	2616793569727741753	0 18 40 46 66 76 96 126 178 208 228 238 258 264 286 304	-346940935336
STPT(10)	2616793996018009007	0 2 54 56 72 74 90 92 144 146	79349331918
STPT(10)	2616794014277529599	0 2 42 44 60 62 78 80 120 122	97608852510
TPT(14)	2616794070689969381	0 2 30 32 96 98 156 158 168 170 210 212 246 248	154021292292
STPT(10)	2616794120071417997	0 2 60 62 72 74 84 86 144 146	203402740908
STPT(10)	2616794317833888077	0 2 54 56 72 74 90 92 144 146	401165210988