Prime p₀= 2722285503653961491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 40 2 16 2 22 2 58 2 (?)
a_n: 0 2 30 32 96 98 138 140 156 158 180 182 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 28 64 40 16 22 58

TPT(14)	2722284207135914129	0 2 42 44 78 80 120 122 210 212 252 254 288 290	-1296518047362
STPT(12)	2722284207135914171	0 2 36 38 78 80 168 170 210 212 246 248	-1296518047320
SPT(16)	2722284835746998567	0 14 56 110 132 134 146 152 204 210 222 224 246 300 342 356	-667906962924
SPT(16)	2722284953895056323	0 46 76 88 130 138 144 166 168 190 196 204 246 258 288 334	-549758905168
STPT(10)	2722285262913512111	0 2 6 8 48 50 90 92 96 98	-240740449380
STPT(10)	2722285381215314207	0 2 42 44 72 74 102 104 144 146	-122438647284
SPT(16)	2722285584022270531	0 30 40 70 102 180 222 238 240 256 298 376 408 438 448 478	80368309040
STPT(10)	2722285729485066359	0 2 18 20 30 32 42 44 60 62	225831104868
SPT(16)	2722287020629410671	0 12 50 62 78 86 90 92 216 218 222 230 246 258 296 308	1516975449180
TPT(14)	2722287246129911897	0 2 84 86 132 134 180 182 222 224 414 416 444 446	1742475950406
SPT(16)	2722287488934433967	0 26 30 42 114 122 152 162 254 264 294 302 374 386 390 416	1985280472476