Prime p₀= 2684720991376486847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 82 2 4 2 10 2 10 2 16 2 (?)
a_n: 0 2 120 122 204 206 210 212 222 224 234 236 252 254
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: RFGuy_KCCO
db: batch=82, k=14, 118 82 4 10 10 16

SPT(16)	2684719137787411259	0 42 78 80 90 104 108 110 162 164 168 182 192 194 230 272	-1853589075588
SPT(16)	2684719473921392641	0 42 82 126 138 160 210 222 286 298 348 370 382 426 466 508	-1517455094206
STPT(10)	2684719599913998389	0 2 42 44 120 122 198 200 240 242	-1391462488458
STPT(10)	2684719925745036209	0 2 18 20 30 32 42 44 60 62	-1065631450638
SPT(16)	2684720050397594719	0 42 70 72 82 108 124 138 154 168 184 210 220 222 250 292	-940978892128
SPT(16)	2684720353804983437	0 6 20 54 60 66 80 110 186 216 230 236 242 276 290 296	-637571503410
STPT(10)	2684721221977419587	0 2 30 32 42 44 54 56 84 86	230600932740
STPT(10)	2684721544116607811	0 2 6 8 48 50 90 92 96 98	552740120964
SPT(16)	2684721627576379511	0 18 38 42 66 80 108 110 168 170 198 212 236 240 260 278	636199892664
SPT(16)	2684721886802395367	0 2 12 26 32 50 54 56 90 92 96 114 120 134 144 146	895425908520
SPT(16)	2684722193618046313	0 4 58 78 130 186 196 238 246 288 298 354 406 426 480 484	1202241559466