Prime p₀= 1934816419162871141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 40 2 88 2 28 2 124 2 (?)
a_n: 0 2 18 20 78 80 120 122 210 212 240 242 366 368
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: 368
Found by: Landjunge
db: batch=80, k=14, 16 58 40 88 28 124

SPT(16)	1934814686700993887	0 60 96 116 132 152 180 192 230 242 270 290 306 326 362 422	-1732461877254
TPT(14)	1934814765330034829	0 2 138 140 180 182 192 194 330 332 390 392 402 404	-1653832836312
SPT(16)	1934814814266765127	0 4 30 54 64 120 126 144 166 184 190 246 256 280 306 310	-1604896106014
STPT(10)	1934815832479721627	0 2 42 44 72 74 102 104 144 146	-586683149514
SPT(16)	1934816041831699457	0 12 14 84 104 134 146 162 194 210 222 252 272 342 344 356	-377331171684
STPT(10)	1934816117079863957	0 2 30 32 60 62 90 92 120 122	-302083007184
TPT(14)	1934816566534920581	0 2 6 8 30 32 120 122 168 170 216 218 270 272	147372049440
STPT(10)	1934817092806082897	0 2 24 26 42 44 60 62 84 86	673643211756
SPT(16)	1934817162064906123	0 34 60 124 130 144 186 210 244 268 310 324 330 394 420 454	742902034982
SPT(16)	1934818320392158697	0 44 60 62 86 116 144 156 170 182 210 240 264 266 282 326	1901229287556
SPT(18)	1934819036329646717	0 20 24 84 90 92 104 110 152 204 246 252 264 266 272 332 336 356	2617166775576