Prime p₀= 1004650988723267057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 46 2 76 2 52 2 16 2 (?)
a_n: 0 2 72 74 84 86 132 134 210 212 264 266 282 284
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: 284
Found by: stoneageman
db: batch=76, k=14, 70 10 46 76 52 16

STPT(10)	1004649731232356849	0 2 48 50 90 92 132 134 180 182	-1257490910208
SPT(16)	1004649802336784473	0 30 48 84 90 130 168 216 268 316 354 394 400 436 454 484	-1186386482584
SPT(16)	1004649835752426793	0 100 124 156 160 168 174 196 198 220 226 234 238 270 294 394	-1152970840264
SPT(16)	1004650084277374387	0 6 12 46 90 102 112 114 142 144 154 166 210 244 250 256	-904445892670
SPT(18)	1004650536607734007	0 10 24 46 54 66 112 132 136 210 214 234 280 292 300 322 336 346	-452115533050
STPT(10)	1004650569978262301	0 2 6 8 48 50 90 92 96 98	-418745004756
SPT(16)	1004651079911062123	0 18 28 30 70 78 88 144 190 246 256 264 304 306 316 334	91187795066
SPT(16)	1004651226326574313	0 4 28 60 78 100 180 214 264 298 378 400 418 450 474 478	237603307256
STPT(10)	1004651627659962827	0 2 30 32 42 44 54 56 84 86	638936695770
STPT(10)	1004651782538244899	0 2 42 44 60 62 78 80 120 122	793814977842
SPT(16)	1004651820099224579	0 18 24 72 74 80 84 150 182 248 252 258 260 308 314 332	831375957522