Prime p₀= 2120025553344932141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 124 2 130 2 46 2 22 2 4 2 (?)
a_n: 0 2 60 62 186 188 318 320 366 368 390 392 396 398
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: 398
Found by: Landjunge
db: batch=80, k=14, 58 124 130 46 22 4

STPT(10)	2120024041798576367	0 2 24 26 42 44 60 62 84 86	-1511546355774
SPT(16)	2120024214003171559	0 42 70 72 108 114 124 142 150 168 178 184 220 222 250 292	-1339341760582
SPT(16)	2120024475427285771	0 58 82 130 192 220 252 312 346 406 438 466 528 576 600 658	-1077917646370
STPT(10)	2120025056795989841	0 2 36 38 78 80 120 122 156 158	-496548942300
SPT(16)	2120025253359205483	0 64 100 120 184 228 238 240 244 246 256 300 364 384 420 484	-299985726658
STPT(10)	2120025471399177281	0 2 30 32 60 62 90 92 120 122	-81945754860
SPT(16)	2120025813718331801	0 32 38 42 66 120 126 140 168 182 188 242 266 270 276 308	260373399660
STPT(10)	2120025873502309439	0 2 18 20 60 62 102 104 120 122	320157377298
SPT(16)	2120025924967717153	0 28 78 88 114 156 214 294 340 420 478 520 546 556 606 634	371622785012
SPT(16)	2120025985463860109	0 12 60 108 138 140 168 182 198 212 240 242 272 320 368 380	432118927968
STPT(10)	2120026756777369367	0 2 30 32 72 74 114 116 144 146	1203432437226