Prime p₀= 949861009252313129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 4 2 70 2 46 2 22 2 (?)
a_n: 0 2 30 32 102 104 108 110 180 182 228 230 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 28 70 4 70 46 22

SPT(16)	949859985836253871	0 46 58 66 78 106 112 166 252 306 312 340 352 360 372 418	-1023416059258
STPT(10)	949860096396360827	0 2 12 14 42 44 72 74 84 86	-912855952302
STPT(10)	949860337820175401	0 2 6 8 48 50 90 92 96 98	-671432137728
SPT(16)	949860455729604637	0 54 60 82 100 154 246 312 334 400 492 546 564 586 592 646	-553522708492
SPT(16)	949860540343875331	0 10 22 52 72 106 112 120 142 150 156 190 210 240 252 262	-468908437798
SPT(16)	949860772586631569	0 32 54 80 108 122 170 210 212 252 300 314 342 368 390 422	-236665681560
SPT(16)	949861719501826777	0 10 52 60 64 106 142 162 304 324 360 402 406 414 456 466	710249513648
SPT(16)	949861862918371759	0 12 28 30 42 70 100 114 178 192 222 250 262 264 280 292	853666058630
STPT(10)	949861987076764649	0 2 18 20 30 32 42 44 60 62	977824451520
STPT(10)	949862358817158497	0 2 42 44 72 74 102 104 144 146	1349564845368
SPT(16)	949862487996743941	0 16 46 60 88 112 120 126 142 148 156 180 208 222 252 268	1478744430812