Prime p₀= 1295361044872152239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 10 2 28 2 76 2 46 2 (?)
a_n: 0 2 18 20 90 92 102 104 132 134 210 212 258 260
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: 260
Found by: Cruncher Pete
db: batch=77, k=14, 16 70 10 28 76 46

TPT(14)	1295359358847801857	0 2 24 26 30 32 162 164 192 194 234 236 240 242	-1686024350382
SPT(16)	1295359605214568797	0 4 66 102 114 144 154 190 276 312 322 352 364 400 462 466	-1439657583442
SPT(16)	1295359705632890717	0 2 30 56 72 114 140 186 290 336 362 404 420 446 474 476	-1339239261522
SPT(16)	1295359729668100787	0 80 110 120 126 140 194 264 272 342 396 410 416 426 456 536	-1315204051452
TPT(14)	1295359766792236961	0 2 60 62 90 92 156 158 168 170 186 188 228 230	-1278079915278
STPT(10)	1295360515190864777	0 2 54 56 72 74 90 92 144 146	-529681287462
SPT(16)	1295361507643017277	0 22 52 60 66 94 102 112 144 154 162 190 196 204 234 256	462770865038
SPT(16)	1295361810532537259	0 24 50 84 110 140 210 254 288 332 402 432 458 492 518 542	765660385020
SPT(16)	1295362433768330539	0 22 30 34 100 112 120 124 150 154 162 174 240 244 252 274	1388896178300
TPT(14)	1295362689237892127	0 2 30 32 54 56 180 182 210 212 240 242 270 272	1644365739888
STPT(10)	1295362765098748361	0 2 30 32 120 122 210 212 240 242	1720226596122