Prime p₀= 2981314774397167001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 118 2 52 2 136 2 10 2 4 2 (?)
a_n: 0 2 6 8 126 128 180 182 318 320 330 332 336 338
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: 338
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 4 118 52 136 10 4

SPT(16)	2981311393867428341	0 30 32 80 98 110 150 152 156 158 198 210 228 276 278 308	-3380529738660
TPT(14)	2981312261781598559	0 2 48 50 90 92 222 224 300 302 378 380 390 392	-2512615568442
STPT(10)	2981312585791565561	0 2 6 8 48 50 90 92 96 98	-2188605601440
STPT(10)	2981312687708589581	0 2 6 8 48 50 90 92 96 98	-2086688577420
STPT(10)	2981314054083932459	0 2 12 14 90 92 168 170 180 182	-720313234542
SPT(16)	2981314116535328243	0 20 54 74 90 98 120 134 234 248 270 278 294 314 348 368	-657861838758
SPT(16)	2981315148447654853	0 6 18 58 70 90 118 120 154 156 184 204 216 256 268 274	374050487852
STPT(10)	2981315524002677591	0 2 36 38 78 80 120 122 156 158	749605510590
STPT(10)	2981315965213557659	0 2 30 32 120 122 210 212 240 242	1190816390658
SPT(16)	2981316259391378483	0 24 44 50 80 120 158 164 204 210 248 288 318 324 344 368	1484994211482
STPT(10)	2981316428678613197	0 2 30 32 42 44 54 56 84 86	1654281446196