Prime p₀= 2741949047793594557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 148 2 10 2 10 2 166 2 (?)
a_n: 0 2 42 44 120 122 270 272 282 284 294 296 462 464
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: 464
Found by: JayPi
db: batch=82, k=14, 40 76 148 10 10 166

SPT(16)	2741947723645684627	0 54 66 94 112 142 156 184 192 220 234 264 282 310 322 376	-1324147909930
STPT(10)	2741948037162147311	0 2 36 38 78 80 120 122 156 158	-1010631447246
STPT(10)	2741948485928663447	0 2 42 44 72 74 102 104 144 146	-561864931110
SPT(16)	2741948551176499447	0 24 30 60 126 144 154 156 340 342 352 370 436 466 472 496	-496617095110
SPT(16)	2741948620292671633	0 54 90 96 138 166 180 208 216 244 258 286 328 334 370 424	-427500922924
SPT(16)	2741948846632414733	0 54 66 84 110 146 200 224 240 264 318 354 380 398 410 464	-201161179824
SPT(16)	2741949689226543421	0 6 16 40 66 72 90 96 112 118 136 142 168 192 202 208	641432948864
STPT(10)	2741949771260811029	0 2 78 80 120 122 162 164 240 242	723467216472
STPT(10)	2741949937920233009	0 2 12 14 30 32 48 50 60 62	890126638452
STPT(10)	2741950047986784959	0 2 18 20 30 32 42 44 60 62	1000193190402
STPT(10)	2741950325268437807	0 2 30 32 42 44 54 56 84 86	1277474843250