Prime p₀= 1957879098848133887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 22 2 4 2 10 2 76 2 130 2 (?)
a_n: 0 2 240 242 264 266 270 272 282 284 360 362 492 494
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: 494
Found by: Landjunge
db: batch=80, k=14, 238 22 4 10 76 130

SPT(16)	1957878157631078233	0 64 96 118 174 180 238 258 286 306 364 370 426 448 480 544	-941217055654
SPT(16)	1957878158854513919	0 2 14 50 60 62 104 162 182 240 282 284 294 330 342 344	-939993619968
SPT(16)	1957878168423441871	0 10 66 118 136 138 172 178 210 216 250 252 270 322 378 388	-930424692016
SPT(16)	1957878229152377899	0 34 48 58 64 108 190 280 372 462 544 588 594 604 618 652	-869695755988
SPT(16)	1957878862175276723	0 8 20 44 56 78 86 96 128 138 146 168 180 204 216 224	-236672857164
SPT(16)	1957878907838157091	0 6 12 42 46 88 132 162 166 196 240 282 286 316 322 328	-191009976796
SPT(16)	1957879508269527001	0 18 82 106 112 150 186 222 346 382 418 456 462 486 550 568	409421393114
STPT(10)	1957879640302812407	0 2 24 26 42 44 60 62 84 86	541454678520
SPT(16)	1957879700654826121	0 46 70 130 132 150 162 166 216 220 232 250 252 312 336 382	601806692234
STPT(10)	1957879730130184871	0 2 90 92 108 110 126 128 216 218	631282050984
STPT(10)	1957879853836804757	0 2 30 32 72 74 114 116 144 146	754988670870