Prime p₀= 956973259141503257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 40 2 58 2 148 2 28 2 (?)
a_n: 0 2 12 14 90 92 132 134 192 194 342 344 372 374
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: 374
Found by: stoneageman
db: batch=76, k=14, 10 76 40 58 148 28

SPT(16)	956971901389185763	0 4 34 46 54 58 60 96 118 154 156 160 168 180 210 214	-1357752317494
SPT(16)	956972042718965587	0 46 66 114 142 144 150 184 222 256 262 264 292 340 360 406	-1216422537670
STPT(10)	956972789174253737	0 2 12 14 42 44 72 74 84 86	-469967249520
SPT(16)	956972813726683577	0 26 42 66 134 206 222 234 302 314 330 402 470 494 510 536	-445414819680
STPT(10)	956972831011102847	0 2 54 56 132 134 210 212 264 266	-428130400410
STPT(10)	956972863229690897	0 2 30 32 102 104 174 176 204 206	-395911812360
SPT(16)	956973362088369029	0 24 42 62 92 104 120 140 144 164 180 192 222 242 260 284	102946865772
STPT(10)	956973383742888857	0 2 42 44 72 74 102 104 144 146	124601385600
TPT(14)	956973500943400361	0 2 78 80 198 200 288 290 306 308 420 422 456 458	241801897104
TPT(14)	956973506157015239	0 2 48 50 90 92 102 104 168 170 180 182 252 254	247015511982
SPT(16)	956974261617802537	0 4 36 46 72 76 130 154 162 186 240 244 270 280 312 316	1002476299280