Prime p₀= 2478935365078901849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 10 2 4 2 28 2 22 2 (?)
a_n: 0 2 108 110 150 152 162 164 168 170 198 200 222 224
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: 224
Found by: arkiss
db: batch=82, k=14, 106 40 10 4 28 22

SPT(16)	2478933555355122521	0 6 12 62 66 80 102 108 140 146 168 182 186 236 242 248	-1809723779328
STPT(10)	2478933665730267869	0 2 12 14 30 32 48 50 60 62	-1699348633980
STPT(10)	2478934046370414959	0 2 18 20 30 32 42 44 60 62	-1318708486890
TPT(14)	2478935076847502501	0 2 48 50 126 128 198 200 348 350 510 512 516 518	-288231399348
SPT(16)	2478935154589400021	0 6 26 78 92 110 216 242 246 272 378 396 410 462 482 488	-210489501828
SPT(16)	2478935339745941161	0 18 30 40 46 60 82 100 138 156 178 192 198 208 220 238	-25332960688
SPT(16)	2478935439068165537	0 14 56 66 132 150 152 162 194 204 206 224 290 300 342 356	73989263688
STPT(10)	2478935861476674947	0 2 12 14 42 44 72 74 84 86	496397773098
STPT(10)	2478936047730198149	0 2 42 44 60 62 78 80 120 122	682651296300
SPT(16)	2478936407741076551	0 2 6 8 38 56 78 108 140 170 192 210 240 242 246 248	1042662174702
TPT(14)	2478936565001967989	0 2 18 20 48 50 78 80 90 92 198 200 252 254	1199923066140