Prime p₀= 1957112897022946781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 40 2 28 2 220 2 34 2 (?)
a_n: 0 2 18 20 66 68 108 110 138 140 360 362 396 398
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, 16 46 40 28 220 34

STPT(10)	1957111735274272931	0 2 6 8 48 50 90 92 96 98	-1161748673850
STPT(10)	1957111956389933171	0 2 6 8 48 50 90 92 96 98	-940633013610
SPT(16)	1957112042496752233	0 28 88 96 114 124 130 166 198 234 240 250 268 276 336 364	-854526194548
SPT(16)	1957112072143221769	0 42 54 132 178 240 252 262 300 310 322 384 430 508 520 562	-824879725012
SPT(16)	1957112078225541301	0 28 36 70 82 100 102 126 142 166 168 186 198 232 240 268	-818797405480
SPT(16)	1957112652997407679	0 22 30 90 100 138 168 180 232 244 274 312 322 382 390 412	-244025539102
SPT(16)	1957112912100111803	0 6 20 44 78 86 90 144 200 254 258 266 300 324 338 344	15077165022
SPT(16)	1957113022745209211	0 12 42 60 72 86 120 150 212 242 276 290 302 320 350 362	125722262430
STPT(10)	1957113098869976141	0 2 6 8 48 50 90 92 96 98	201847029360
TPT(14)	1957113296677673441	0 2 108 110 138 140 150 152 228 230 336 338 348 350	399654726660
SPT(16)	1957113323785348609	0 18 40 82 90 130 138 160 192 214 222 262 270 312 334 352	426762401828