Prime p₀= 2524319385157549937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 16 2 46 2 28 2 40 2 (?)
a_n: 0 2 42 44 84 86 102 104 150 152 180 182 222 224
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: 224
Found by: SEARCHER
db: batch=82, k=14, 40 40 16 46 28 40

TPT(14)	2524317688656695621	0 2 126 128 156 158 186 188 198 200 216 218 228 230	-1696500854316
STPT(10)	2524317758662785581	0 2 66 68 138 140 210 212 276 278	-1626494764356
SPT(16)	2524317967913548973	0 8 18 26 78 176 188 194 210 216 228 326 378 386 396 404	-1417244000964
STPT(10)	2524318116586326659	0 2 18 20 30 32 42 44 60 62	-1268571223278
STPT(10)	2524318228790593187	0 2 30 32 42 44 54 56 84 86	-1156366956750
STPT(10)	2524318850846623877	0 2 54 56 72 74 90 92 144 146	-534310926060
TPT(14)	2524319517573756437	0 2 150 152 162 164 174 176 192 194 294 296 300 302	132416206500
SPT(16)	2524319990366782141	0 10 52 66 76 78 102 118 120 136 160 162 172 186 228 238	605209232204
SPT(16)	2524320040764381131	0 6 20 32 48 60 86 158 210 282 308 320 336 348 362 368	655606831194
STPT(10)	2524320338268994997	0 2 30 32 42 44 54 56 84 86	953111445060
STPT(10)	2524320680706853079	0 2 42 44 60 62 78 80 120 122	1295549303142