Prime p₀= 857670153685912001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 70 2 40 2 28 2 34 2 (?)
a_n: 0 2 30 32 66 68 138 140 180 182 210 212 246 248
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: 248
Found by: Donn Pike (USAF Ret)
db: batch=73, k=14, 28 34 70 40 28 34

STPT(12)	857668921830786971	0 2 6 8 138 140 168 170 300 302 306 308	-1231855125030
SPT(18)	857669383826501717	0 14 32 60 162 164 204 224 230 246 252 272 312 314 416 444 462 476	-769859410284
SPT(16)	857669489700421669	0 112 118 120 138 160 162 190 222 250 252 274 292 294 300 412	-663985490332
SPT(16)	857669598855544823	0 6 8 50 60 84 90 96 98 104 110 134 144 186 188 194	-554830367178
SPT(16)	857669962465527383	0 8 30 50 90 110 120 258 308 446 456 476 516 536 558 566	-191220384618
STPT(10)	857670081915157541	0 2 30 32 60 62 90 92 120 122	-71770754460
TPT(14)	857670214371898439	0 2 30 32 78 80 120 122 180 182 210 212 222 224	60685986438
SPT(20)	857670417086723381	0 26 30 32 38 42 78 128 168 176 312 320 360 410 446 450 456 458 462 488	263400811380
STPT(10)	857670745434457247	0 2 42 44 72 74 102 104 144 146	591748545246
SPT(16)	857671355406691333	0 4 6 30 46 60 114 120 154 160 214 228 244 268 270 274	1201720779332
SPT(16)	857671704890298643	0 34 64 78 90 94 100 114 154 168 174 178 190 204 234 268	1551204386642