Prime p₀= 2897431762747830389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 40 2 34 2 58 2 10 2 (?)
a_n: 0 2 72 74 90 92 132 134 168 170 228 230 240 242
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: 242
Found by: JohnMD
db: batch=82, k=14, 70 16 40 34 58 10

SPT(16)	2897429051772523409	0 32 78 98 164 204 224 252 320 348 368 408 474 494 540 572	-2710975306980
STPT(10)	2897429059728530027	0 2 30 32 42 44 54 56 84 86	-2703019300362
SPT(16)	2897429954115190567	0 6 40 52 54 120 124 154 162 192 196 262 264 276 310 316	-1808632639822
SPT(16)	2897430290136219787	0 6 52 60 70 76 102 120 136 154 180 186 196 204 250 256	-1472611610602
SPT(16)	2897430947513969359	0 22 30 70 84 100 154 238 324 408 462 478 492 532 540 562	-815233861030
SPT(18)	2897431472838518981	0 8 26 30 56 66 72 78 92 186 200 206 212 222 248 252 270 278	-289909311408
STPT(10)	2897431916542321157	0 2 24 26 42 44 60 62 84 86	153794490768
STPT(10)	2897432833999173929	0 2 18 20 30 32 42 44 60 62	1071251343540
SPT(16)	2897432844639044737	0 46 82 130 154 156 210 232 264 286 340 342 366 414 450 496	1081891214348
SPT(16)	2897432916476505353	0 18 30 38 78 86 108 140 144 176 198 206 246 254 266 284	1153728674964
SPT(16)	2897433529802018087	0 6 30 56 60 72 80 96 116 132 140 152 156 182 206 212	1767054187698