Prime p₀= 1133150770771745567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 132 134 162 164 210 212 240 242 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 28 100 28 46 28 28

SPT(16)	1133150457662070091	0 40 60 72 102 112 118 132 208 222 228 238 268 280 300 340	-313109675476
SPT(16)	1133150508177611221	0 6 18 22 30 72 148 156 172 180 256 298 306 310 322 328	-262594134346
SPT(16)	1133150584132938053	0 26 48 56 68 126 134 176 348 390 398 456 468 476 498 524	-186638807514
STPT(10)	1133150617831310927	0 2 30 32 60 62 90 92 120 122	-152940434640
STPT(10)	1133150700403990199	0 2 42 44 120 122 198 200 240 242	-70367755368
SPT(16)	1133150724346912417	0 42 54 76 90 126 136 142 444 450 460 496 510 532 544 586	-46424833150
SPT(16)	1133151038290602817	0 52 100 126 142 162 210 280 282 352 400 420 436 462 510 562	267518857250
STPT(10)	1133151149927363849	0 2 42 44 60 62 78 80 120 122	379155618282
SPT(16)	1133151534439601813	0 8 14 24 96 110 120 170 174 224 234 248 320 330 336 344	763667856246
STPT(10)	1133151559488059729	0 2 48 50 60 62 72 74 120 122	788716314162
SPT(16)	1133151979320845521	0 22 58 70 100 108 112 120 178 186 190 198 228 240 276 298	1208549099954