Prime p₀= 2185885635633934607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 76 2 10 2 28 2 64 2 (?)
a_n: 0 2 60 62 84 86 162 164 174 176 204 206 270 272
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: 272
Found by: Penguin
db: batch=81, k=14, 58 22 76 10 28 64

SPT(16)	2185884272184749977	0 10 36 46 54 64 66 70 96 100 102 112 120 130 156 166	-1363449184630
STPT(10)	2185884472912919237	0 2 30 32 42 44 54 56 84 86	-1162721015370
SPT(16)	2185885045095912571	0 42 48 102 162 186 246 270 288 312 372 396 456 510 516 558	-590538022036
SPT(18)	2185885110390843569	0 2 8 14 102 122 168 192 222 350 380 404 450 470 558 564 570 572	-525243091038
SPT(16)	2185885400269264487	0 2 6 30 72 126 132 140 156 164 170 224 266 290 294 296	-235364670120
STPT(10)	2185885606064761961	0 2 6 8 48 50 90 92 96 98	-29569172646
STPT(10)	2185886086604836541	0 2 30 32 78 80 126 128 156 158	450970901934
STPT(10)	2185886430907049639	0 2 18 20 30 32 42 44 60 62	795273115032
STPT(10)	2185886956746602111	0 2 30 32 60 62 90 92 120 122	1321112667504
SPT(16)	2185887260824854283	0 4 28 54 58 88 90 100 114 124 126 156 160 186 210 214	1625190919676
STPT(10)	2185887487331090747	0 2 12 14 42 44 72 74 84 86	1851697156140