Prime p₀= 1009819411545060971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 106 2 28 2 16 2 10 2 (?)
a_n: 0 2 150 152 180 182 288 290 318 320 336 338 348 350
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: 350
Found by: stoneageman
db: batch=76, k=14, 148 28 106 28 16 10

SPT(16)	1009818598538342821	0 12 42 46 100 130 132 142 186 196 198 228 282 286 316 328	-813006718150
SPT(16)	1009818683021313637	0 36 42 52 82 90 94 114 202 222 226 234 264 274 280 316	-728523747334
STPT(10)	1009818687177961481	0 2 6 8 18 20 30 32 36 38	-724367099490
SPT(16)	1009818803016624749	0 32 44 78 140 170 198 218 234 254 282 312 374 408 420 452	-608528436222
STPT(10)	1009819195488466541	0 2 6 8 48 50 90 92 96 98	-216056594430
SPT(16)	1009819320427489889	0 42 72 162 168 182 204 218 234 248 270 284 290 380 410 452	-91117571082
SPT(16)	1009819461371666713	0 6 18 34 76 78 96 106 108 118 136 138 180 196 208 214	49826605742
STPT(10)	1009819659208549307	0 2 30 32 42 44 54 56 84 86	247663488336
SPT(16)	1009819663736147071	0 30 106 132 142 156 216 268 300 352 412 426 436 462 538 568	252191086100
TPT(14)	1009819794375392951	0 2 18 20 30 32 168 170 186 188 198 200 228 230	382830331980
SPT(16)	1009819991924177183	0 26 44 68 74 98 206 210 224 228 336 360 366 390 408 434	580379116212