Prime p₀= 2920211430522041417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 88 2 46 2 28 2 16 2 (?)
a_n: 0 2 12 14 54 56 144 146 192 194 222 224 240 242
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: 242
Found by: Landjunge
db: batch=82, k=14, 10 40 88 46 28 16

STPT(10)	2920209583759904897	0 2 24 26 42 44 60 62 84 86	-1846762136520
SPT(16)	2920209705996955037	0 32 42 50 72 84 120 162 164 206 242 254 276 284 294 326	-1724525086380
SPT(16)	2920210002278479093	0 18 24 54 60 94 120 270 274 424 450 484 490 520 526 544	-1428243562324
STPT(10)	2920210495881550757	0 2 12 14 42 44 72 74 84 86	-934640490660
SPT(16)	2920210620277472461	0 16 78 120 130 142 156 196 312 352 366 378 388 430 492 508	-810244568956
SPT(16)	2920211146030709441	0 42 138 150 290 302 312 338 360 386 396 408 548 560 656 698	-284491331976
SPT(16)	2920211784455813563	0 16 24 58 66 84 88 106 108 126 130 148 156 190 198 214	353933772146
SPT(16)	2920211840361194213	0 8 14 86 146 150 164 216 248 300 314 318 378 450 456 464	409839152796
STPT(10)	2920212057931785059	0 2 42 44 60 62 78 80 120 122	627409743642
STPT(10)	2920212464961755609	0 2 48 50 60 62 72 74 120 122	1034439714192
SPT(16)	2920212506494685047	0 10 72 100 114 174 184 232 282 330 340 400 414 442 504 514	1075972643630