Prime p₀= 1307195952684499151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 58 2 28 2 22 2 16 2 (?)
a_n: 0 2 30 32 66 68 126 128 156 158 180 182 198 200
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: 200
Found by: Theadalus
db: batch=77, k=14, 28 34 58 28 22 16

TPT(14)	1307194366269532589	0 2 30 32 60 62 78 80 198 200 210 212 252 254	-1586414966562
SPT(16)	1307194472084718031	0 28 58 66 78 90 96 168 190 262 268 280 292 300 330 358	-1480599781120
SPT(16)	1307195585746403413	0 34 36 46 48 54 60 78 166 184 190 196 198 208 210 244	-366938095738
SPT(16)	1307195874910667611	0 22 42 72 90 112 132 150 238 256 276 298 316 346 366 388	-77773831540
STPT(10)	1307195919355705187	0 2 42 44 132 134 222 224 264 266	-33328793964
TPT(14)	1307195946349692779	0 2 18 20 42 44 78 80 120 122 330 332 342 344	-6334806372
SPT(16)	1307196054010290097	0 10 54 84 114 120 142 154 162 174 196 202 232 262 306 316	101325790946
SPT(16)	1307196219361293409	0 12 18 30 42 88 142 172 180 210 264 310 322 334 340 352	266676794258
SPT(16)	1307196280976741999	0 20 54 84 90 98 104 114 194 204 210 218 224 254 288 308	328292242848
SPT(16)	1307196356146520507	0 6 12 54 56 72 120 192 194 266 314 330 332 374 380 386	403462021356
STPT(10)	1307196416753604077	0 2 30 32 42 44 54 56 84 86	464069104926