Prime p₀= 2161181949788975171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 28 2 28 2 64 2 70 2 (?)
a_n: 0 2 48 50 60 62 90 92 120 122 186 188 258 260
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: 260
Found by: Landjunge
db: batch=81, k=14, 46 10 28 28 64 70

SPT(16)	2161180732250214823	0 18 58 88 100 108 124 144 304 324 340 348 360 390 430 448	-1217538760348
STPT(10)	2161181387549574461	0 2 30 32 78 80 126 128 156 158	-562239400710
TPT(14)	2161181741751027167	0 2 102 104 132 134 144 146 210 212 240 242 324 326	-208037948004
STPT(10)	2161181770955109767	0 2 42 44 72 74 102 104 144 146	-178833865404
STPT(10)	2161181853448746221	0 2 36 38 78 80 120 122 156 158	-96340228950
SPT(16)	2161181928798708061	0 22 42 82 138 156 168 178 240 250 262 280 336 376 396 418	-20990267110
SPT(16)	2161182061011660931	0 6 10 12 40 66 90 160 228 298 322 348 376 378 382 388	111222685760
SPT(16)	2161182582771776357	0 146 164 176 182 210 212 296 300 384 386 414 420 432 450 596	632982801186
SPT(16)	2161182624508311683	0 6 24 56 80 90 104 126 164 186 200 210 234 266 284 290	674719336512
STPT(10)	2161182698051358659	0 2 18 20 30 32 42 44 60 62	748262383488
STPT(10)	2161182792797310587	0 2 30 32 42 44 54 56 84 86	843008335416