Prime p₀= 3013837831144878767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 34 2 82 2 4 2 22 2 (?)
a_n: 0 2 12 14 84 86 120 122 204 206 210 212 234 236
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: 236
Found by: hase
db: batch=82, k=14, 10 70 34 82 4 22

SPT(16)	3013836312333565093	0 4 48 60 90 118 144 160 264 280 306 334 364 376 420 424	-1518811313674
STPT(10)	3013836359781973631	0 2 6 8 48 50 90 92 96 98	-1471362905136
TPT(14)	3013836462687346949	0 2 78 80 90 92 210 212 240 242 312 314 342 344	-1368457531818
STPT(10)	3013836856784619947	0 2 42 44 72 74 102 104 144 146	-974360258820
SPT(16)	3013837347324004703	0 8 20 54 56 68 108 116 168 176 216 228 230 264 276 284	-483820874064
STPT(10)	3013837541909367791	0 2 36 38 78 80 120 122 156 158	-289235510976
SPT(20)	3013838198449291903	0 28 70 78 100 130 160 204 208 264 274 330 334 378 408 438 460 468 510 538	367304413136
STPT(10)	3013838833292765669	0 2 78 80 120 122 162 164 240 242	1002147886902
SPT(16)	3013838844276799489	0 10 54 58 90 108 130 168 184 222 244 262 294 298 342 352	1013131920722
SPT(16)	3013838965704658207	0 12 42 46 70 96 114 120 376 382 400 426 450 454 484 496	1134559779440
STPT(10)	3013839102769973297	0 2 30 32 42 44 54 56 84 86	1271625094530