Prime p₀= 2679622978591371089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 58 2 46 2 82 2 196 2 (?)
a_n: 0 2 12 14 30 32 90 92 138 140 222 224 420 422
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 10 16 58 46 82 196

SPT(16)	2679621388686239267	0 30 36 90 92 110 116 174 182 240 246 264 266 320 326 356	-1589905131822
SPT(16)	2679621780835209209	0 2 20 42 48 60 90 114 158 182 212 224 230 252 270 272	-1197756161880
SPT(18)	2679621864289682749	0 30 48 72 82 90 94 100 132 160 192 198 202 210 220 244 262 292	-1114301688340
SPT(16)	2679622146115843639	0 40 58 60 84 154 168 172 240 244 258 328 352 354 372 412	-832475527450
STPT(10)	2679622395670681091	0 2 36 38 78 80 120 122 156 158	-582920689998
SPT(18)	2679622849173019339	0 28 58 64 78 84 90 108 130 132 154 172 178 184 198 204 234 262	-129418351750
TPT(16)	2679623282209659827	0 2 114 116 222 224 240 242 264 266 270 272 312 314 324 326	303618288738
TPT(14)	2679623399221998959	0 2 30 32 72 74 162 164 228 230 270 272 330 332	420630627870
STPT(10)	2679623895255399689	0 2 18 20 60 62 102 104 120 122	916664028600
SPT(16)	2679623999495073409	0 4 34 48 60 70 100 108 154 162 192 202 214 228 258 262	1020903702320
STPT(10)	2679624057459412709	0 2 48 50 60 62 72 74 120 122	1078868041620