Prime p₀= 1183447233183424499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 52 2 118 2 34 2 52 2 (?)
a_n: 0 2 108 110 168 170 222 224 342 344 378 380 432 434
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: 434
Found by: gemini8
db: batch=77, k=14, 106 58 52 118 34 52

STPT(10)	1183446057914477387	0 2 30 32 60 62 90 92 120 122	-1175268947112
SPT(16)	1183446507772632827	0 14 44 66 120 162 170 206 210 246 254 296 350 372 402 416	-725410791672
STPT(10)	1183446586912161287	0 2 42 44 72 74 102 104 144 146	-646271263212
SPT(16)	1183446712964246767	0 10 64 70 82 126 150 214 312 376 400 444 456 462 516 526	-520219177732
SPT(16)	1183446779929017211	0 10 82 102 126 130 192 210 262 280 342 346 370 390 462 472	-453254407288
SPT(16)	1183447169356238867	0 2 12 44 62 72 90 114 122 146 164 174 192 224 234 236	-63827185632
SPT(16)	1183447848005111189	0 8 42 120 174 180 182 194 198 210 212 218 272 350 384 392	614821686690
SPT(16)	1183447892034006023	0 8 50 68 74 126 144 176 228 260 278 330 336 354 396 404	658850581524
SPT(16)	1183447918714864853	0 26 44 50 110 114 140 198 206 264 290 294 354 360 378 404	685531440354
SPT(16)	1183448084142245413	0 4 16 18 70 108 114 118 126 130 136 174 226 228 240 244	850958820914
SPT(16)	1183448095266123109	0 10 22 42 52 54 64 108 124 168 178 180 190 210 222 232	862082698610