Prime p₀= 2676309176192632217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 70 2 34 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 144 146 180 182 210 212 222 224
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: Asgard2022
db: batch=82, k=14, 28 40 70 34 28 10

SPT(16)	2676307766862552763	0 10 40 70 90 96 100 108 166 174 178 184 204 234 264 274	-1409330079454
STPT(10)	2676308126525432291	0 2 138 140 198 200 258 260 396 398	-1049667199926
STPT(10)	2676308413582358837	0 2 42 44 72 74 102 104 144 146	-762610273380
SPT(13)	2676308509831678823	0 6 30 54 90 126 210 294 330 366 390 414 420	-666360953394
SPT(16)	2676308542733046709	0 10 48 60 78 90 112 130 192 210 232 244 262 274 312 322	-633459585508
SPT(16)	2676308759435423087	0 26 42 44 50 56 86 96 110 120 150 156 162 164 180 206	-416757209130
SPT(16)	2676309267207833659	0 24 34 52 58 70 90 100 132 142 162 174 180 198 208 232	91015201442
SPT(16)	2676309297175110437	0 12 14 42 80 84 86 96 110 120 122 126 164 192 194 206	120982478220
STPT(10)	2676309427464614327	0 2 12 14 42 44 72 74 84 86	251271982110
SPT(16)	2676309573889192057	0 6 66 76 82 90 136 180 286 330 376 384 390 400 460 466	397696559840
STPT(10)	2676309955483253861	0 2 30 32 78 80 126 128 156 158	779290621644