Prime p₀= 857670214371898439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 58 2 28 2 10 2 (?)
a_n: 0 2 30 32 78 80 120 122 180 182 210 212 222 224
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: Donn Pike (USAF Ret)
db: batch=73, k=14, 28 46 40 58 28 10

SPT(18)	857669383826501717	0 14 32 60 162 164 204 224 230 246 252 272 312 314 416 444 462 476	-830545396722
SPT(16)	857669489700421669	0 112 118 120 138 160 162 190 222 250 252 274 292 294 300 412	-724671476770
SPT(16)	857669598855544823	0 6 8 50 60 84 90 96 98 104 110 134 144 186 188 194	-615516353616
SPT(16)	857669962465527383	0 8 30 50 90 110 120 258 308 446 456 476 516 536 558 566	-251906371056
STPT(10)	857670081915157541	0 2 30 32 60 62 90 92 120 122	-132456740898
TPT(14)	857670153685912001	0 2 30 32 66 68 138 140 180 182 210 212 246 248	-60685986438
SPT(20)	857670417086723381	0 26 30 32 38 42 78 128 168 176 312 320 360 410 446 450 456 458 462 488	202714824942
STPT(10)	857670745434457247	0 2 42 44 72 74 102 104 144 146	531062558808
SPT(16)	857671355406691333	0 4 6 30 46 60 114 120 154 160 214 228 244 268 270 274	1141034792894
SPT(16)	857671704890298643	0 34 64 78 90 94 100 114 154 168 174 178 190 204 234 268	1490518400204
SPT(16)	857671953217806577	0 4 12 180 204 232 246 256 330 340 354 382 406 574 582 586	1738845908138