Prime p₀= 1274145488498061371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 34 2 82 2 208 2 (?)
a_n: 0 2 36 38 78 80 90 92 126 128 210 212 420 422
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: 422
Found by: mikey
db: batch=77, k=14, 34 40 10 34 82 208

SPT(16)	1274143306751859913	0 10 64 70 76 78 84 94 150 160 166 168 174 180 234 244	-2181746201458
SPT(16)	1274143789551056687	0 20 32 42 54 84 92 110 204 222 230 260 272 282 294 314	-1698947004684
STPT(10)	1274143962256712759	0 2 18 20 60 62 102 104 120 122	-1526241348612
SPT(18)	1274144605338604079	0 12 14 62 72 78 104 114 132 170 188 198 224 230 240 288 290 302	-883159457292
SPT(16)	1274144830110587537	0 6 90 152 186 212 222 254 312 344 354 380 414 476 560 566	-658387473834
STPT(10)	1274145383619838019	0 2 42 44 90 92 138 140 180 182	-104878223352
SPT(16)	1274145658637497939	0 18 24 34 42 52 94 102 160 168 210 220 228 238 244 262	170139436568
STPT(10)	1274145672073825007	0 2 30 32 72 74 114 116 144 146	183575763636
SPT(16)	1274145780438510151	0 12 22 28 78 90 112 118 132 138 160 172 222 228 238 250	291940448780
STPT(10)	1274145918859095179	0 2 18 20 30 32 42 44 60 62	430361033808
SPT(16)	1274145940736932717	0 12 70 84 114 142 154 172 234 252 264 292 322 336 394 406	452238871346