Prime p₀= 903765169757243111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 10 2 58 2 16 2 40 2 (?)
a_n: 0 2 6 8 36 38 48 50 108 110 126 128 168 170
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: 170
Found by: Theadalus
db: batch=76, k=14, 4 28 10 58 16 40

SPT(16)	903764637707951603	0 20 38 48 56 78 90 146 168 224 236 258 266 276 294 314	-532049291508
STPT(10)	903764681759858069	0 2 48 50 90 92 132 134 180 182	-487997385042
SPT(16)	903764705222193193	0 36 58 148 150 196 234 274 360 400 438 484 486 576 598 634	-464535049918
STPT(10)	903764880565404677	0 2 30 32 42 44 54 56 84 86	-289191838434
STPT(10)	903765080291880941	0 2 36 38 78 80 120 122 156 158	-89465362170
SPT(16)	903765150523066631	0 30 62 86 122 140 156 192 206 242 258 276 312 336 368 398	-19234176480
STPT(10)	903765330797310827	0 2 24 26 42 44 60 62 84 86	161040067716
STPT(10)	903765402832672187	0 2 12 14 132 134 252 254 264 266	233075429076
STPT(12)	903765476137577099	0 2 12 14 90 92 180 182 258 260 270 272	306380333988
SPT(16)	903765492426704269	0 24 52 70 102 124 150 190 294 334 360 382 414 432 460 484	322669461158
SPT(16)	903765801761626381	0 12 90 106 112 130 132 138 190 196 198 216 222 238 316 328	632004383270