Prime p₀= 1004652143575471637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 46 2 70 2 4 2 10 2 10 2 (?)
a_n: 0 2 114 116 162 164 234 236 240 242 252 254 264 266
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: 266
Found by: stoneageman
db: batch=76, k=14, 112 46 70 4 10 10

SPT(16)	1004651079911062123	0 18 28 30 70 78 88 144 190 246 256 264 304 306 316 334	-1063664409514
SPT(16)	1004651226326574313	0 4 28 60 78 100 180 214 264 298 378 400 418 450 474 478	-917248897324
STPT(10)	1004651627659962827	0 2 30 32 42 44 54 56 84 86	-515915508810
STPT(10)	1004651782538244899	0 2 42 44 60 62 78 80 120 122	-361037226738
SPT(16)	1004651820099224579	0 18 24 72 74 80 84 150 182 248 252 258 260 308 314 332	-323476247058
SPT(16)	1004651920496263321	0 22 76 126 148 162 178 196 252 270 286 300 322 372 426 448	-223079208316
SPT(20)	1004652268176933049	0 34 58 64 72 88 114 202 204 214 258 268 270 358 384 400 408 414 438 472	124601461412
SPT(16)	1004652540440872811	0 8 20 66 98 108 122 140 168 186 200 210 242 288 300 308	396865401174
STPT(10)	1004652714986883227	0 2 42 44 72 74 102 104 144 146	571411411590
SPT(16)	1004652789278571487	0 10 22 36 42 66 94 126 190 222 250 274 280 294 306 316	645703099850
TPT(14)	1004653009164632981	0 2 18 20 30 32 108 110 150 152 156 158 180 182	865589161344