Prime p₀= 1013267540935020911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 70 2 10 2 28 2 16 2 46 2 (?)
a_n: 0 2 66 68 138 140 150 152 180 182 198 200 246 248
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: Theadalus
db: batch=76, k=14, 64 70 10 28 16 46

STPT(10)	1013266324147700219	0 2 42 44 120 122 198 200 240 242	-1216787320692
TPT(14)	1013266840195275647	0 2 42 44 60 62 114 116 282 284 300 302 312 314	-700739745264
SPT(16)	1013267090728393271	0 26 92 96 110 116 138 162 176 200 222 228 242 246 312 338	-450206627640
SPT(16)	1013267225032930363	0 60 66 90 96 114 126 156 238 268 280 298 304 328 334 394	-315902090548
SPT(16)	1013267371873136969	0 2 50 78 80 92 110 128 162 180 198 210 212 240 288 290	-169061883942
STPT(10)	1013267451413385461	0 2 126 128 168 170 210 212 336 338	-89521635450
SPT(16)	1013267540952227971	0 18 22 28 72 120 132 138 190 196 208 256 300 306 310 328	17207060
SPT(16)	1013267837467047101	0 60 62 120 150 246 252 258 260 266 272 368 398 456 458 518	296532026190
SPT(16)	1013268287053591669	0 18 52 60 88 90 112 130 132 150 172 174 202 210 244 262	746118570758
SPT(16)	1013268339053078159	0 8 38 72 78 120 140 150 182 192 212 254 260 294 324 332	798118057248
STPT(10)	1013268524539978319	0 2 18 20 30 32 42 44 60 62	983604957408