Prime p₀= 2679623282209659827 starts a Tuple of 16 consecutive primes, which form 8 twin primes (TPT).
d_n: 0 2 112 2 106 2 16 2 22 2 4 2 40 2 10 2 (?)
a_n: 0 2 114 116 222 224 240 242 264 266 270 272 312 314 324 326
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 112 106 16 22 4 40 10

SPT(16)	2679621780835209209	0 2 20 42 48 60 90 114 158 182 212 224 230 252 270 272	-1501374450618
SPT(18)	2679621864289682749	0 30 48 72 82 90 94 100 132 160 192 198 202 210 220 244 262 292	-1417919977078
SPT(16)	2679622146115843639	0 40 58 60 84 154 168 172 240 244 258 328 352 354 372 412	-1136093816188
STPT(10)	2679622395670681091	0 2 36 38 78 80 120 122 156 158	-886538978736
SPT(18)	2679622849173019339	0 28 58 64 78 84 90 108 130 132 154 172 178 184 198 204 234 262	-433036640488
TPT(14)	2679622978591371089	0 2 12 14 30 32 90 92 138 140 222 224 420 422	-303618288738
TPT(14)	2679623399221998959	0 2 30 32 72 74 162 164 228 230 270 272 330 332	117012339132
STPT(10)	2679623895255399689	0 2 18 20 60 62 102 104 120 122	613045739862
SPT(16)	2679623999495073409	0 4 34 48 60 70 100 108 154 162 192 202 214 228 258 262	717285413582
STPT(10)	2679624057459412709	0 2 48 50 60 62 72 74 120 122	775249752882
SPT(16)	2679624374033073787	0 12 24 40 106 112 130 172 294 336 354 360 426 442 454 466	1091823413960