Prime p₀= 2813144976640278857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 46 2 160 2 10 2 (?)
a_n: 0 2 12 14 24 26 42 44 90 92 252 254 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 10 10 16 46 160 10

SPT(16)	2813144140086168943	0 18 28 60 70 108 118 126 130 138 148 186 196 228 238 256	-836554109914
SPT(18)	2813144141462185771	0 42 48 120 130 142 190 258 282 316 340 408 456 468 478 550 556 598	-835178093086
SPT(16)	2813144384717516719	0 28 30 64 70 88 100 130 168 198 210 228 234 268 270 298	-591922762138
SPT(16)	2813144423438324893	0 24 54 66 124 130 136 156 208 228 234 240 298 310 340 364	-553201953964
TPT(14)	2813144652562775939	0 2 102 104 168 170 210 212 282 284 288 290 378 380	-324077502918
SPT(16)	2813144707157822311	0 28 40 60 126 136 150 156 250 256 270 280 346 366 378 406	-269482456546
STPT(10)	2813145268239850811	0 2 36 38 78 80 120 122 156 158	291599571954
TPT(14)	2813145409333540049	0 2 42 44 72 74 108 110 168 170 192 194 240 242	432693261192
STPT(10)	2813145755858628791	0 2 126 128 168 170 210 212 336 338	779218349934
STPT(10)	2813146015573228631	0 2 6 8 18 20 30 32 36 38	1038932949774
SPT(16)	2813146022054363491	0 6 28 40 42 48 60 66 112 118 130 136 138 150 172 178	1045414084634