Prime p₀= 2199109802408293499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 34 2 28 2 100 2 10 2 (?)
a_n: 0 2 18 20 102 104 138 140 168 170 270 272 282 284
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: 284
Found by: Penguin
db: batch=81, k=14, 16 82 34 28 100 10

SPT(16)	2199107544387348193	0 4 16 34 40 58 96 100 114 118 156 174 180 198 210 214	-2258020945306
SPT(16)	2199108155450295097	0 24 72 114 142 154 172 180 184 192 210 222 250 292 340 364	-1646957998402
STPT(10)	2199108433489068707	0 2 12 14 72 74 132 134 144 146	-1368919224792
STPT(10)	2199108494941301759	0 2 12 14 30 32 48 50 60 62	-1307466991740
STPT(10)	2199108635098252781	0 2 36 38 78 80 120 122 156 158	-1167310040718
SPT(16)	2199108689721957677	0 26 42 56 60 66 80 102 110 132 146 152 156 170 186 212	-1112686335822
SPT(16)	2199110265877221313	0 16 24 70 106 114 168 240 304 376 430 438 474 520 528 544	463468927814
SPT(16)	2199110337168333157	0 46 64 72 106 112 130 132 184 186 204 210 244 252 270 316	534760039658
STPT(10)	2199110450417272121	0 2 36 38 78 80 120 122 156 158	648008978622
STPT(10)	2199110770052482379	0 2 30 32 60 62 90 92 120 122	967644188880
SPT(16)	2199111137898829361	0 26 50 60 62 96 116 120 158 162 182 216 218 228 252 278	1335490535862