Prime p₀= 1231535756564451647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 46 2 40 2 94 2 22 2 (?)
a_n: 0 2 12 14 24 26 72 74 114 116 210 212 234 236
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: 236
Found by: Theadalus
db: batch=77, k=14, 10 10 46 40 94 22

SPT(16)	1231535173996649279	0 24 30 44 72 90 98 132 140 174 182 200 228 242 248 272	-582567802368
SPT(16)	1231535203614588361	0 16 102 156 172 202 210 220 258 268 276 306 322 376 462 478	-552949863286
TPT(14)	1231535232807767399	0 2 12 14 30 32 42 44 72 74 78 80 150 152	-523756684248
SPT(16)	1231535433014165893	0 18 34 60 84 106 130 160 174 204 228 250 274 300 316 334	-323550285754
STPT(10)	1231535521675789529	0 2 42 44 90 92 138 140 180 182	-234888662118
SPT(16)	1231535643216815773	0 36 84 90 96 124 126 214 240 328 330 358 364 370 418 454	-113347635874
STPT(10)	1231535841692562311	0 2 6 8 48 50 90 92 96 98	85128110664
SPT(16)	1231535909958417187	0 36 40 54 64 90 112 132 244 264 286 312 322 336 340 376	153393965540
STPT(10)	1231536124252672871	0 2 6 8 48 50 90 92 96 98	367688221224
SPT(16)	1231536228987055241	0 18 50 188 206 246 266 272 306 312 332 372 390 528 560 578	472422603594
STPT(10)	1231536307952760737	0 2 30 32 72 74 114 116 144 146	551388309090