Prime p₀= 1264750833664124327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 28 2 40 2 28 2 64 2 (?)
a_n: 0 2 54 56 132 134 162 164 204 206 234 236 300 302
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: 302
Found by: stoneageman
db: batch=77, k=14, 52 76 28 40 28 64

STPT(10)	1264749607445407841	0 2 6 8 18 20 30 32 36 38	-1226218716486
SPT(18)	1264750035809362307	0 30 72 116 134 144 162 164 200 216 252 254 272 282 300 344 386 416	-797854762020
STPT(12)	1264750485086909417	0 2 102 104 114 116 240 242 252 254 354 356	-348577214910
STPT(10)	1264750486311743657	0 2 30 32 72 74 114 116 144 146	-347352380670
STPT(10)	1264750782525578597	0 2 60 62 72 74 84 86 144 146	-51138545730
STPT(10)	1264750829976177287	0 2 42 44 72 74 102 104 144 146	-3687947040
SPT(16)	1264750965683255279	0 14 84 104 138 152 158 194 258 294 300 314 348 368 438 452	132019130952
SPT(16)	1264751141052714383	0 26 54 78 84 90 126 150 164 188 224 230 236 260 288 314	307388590056
STPT(10)	1264751208427723151	0 2 36 38 78 80 120 122 156 158	374763598824
SPT(16)	1264751713805935939	0 24 28 30 34 72 82 108 184 210 220 258 262 264 268 292	880141811612
SPT(18)	1264752139044579371	0 6 68 72 86 90 98 198 278 300 380 480 488 492 506 510 572 578	1305380455044