Prime p₀= 2128514521545011261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 94 2 22 2 46 2 28 2 (?)
a_n: 0 2 30 32 60 62 156 158 180 182 228 230 258 260
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: 260
Found by: Odd-Rod
db: batch=80, k=14, 28 28 94 22 46 28

STPT(10)	2128513457055805151	0 2 96 98 138 140 180 182 276 278	-1064489206110
SPT(16)	2128513765747047157	0 34 90 112 124 142 232 240 286 294 384 402 414 436 492 526	-755797964104
STPT(10)	2128513786245816857	0 2 30 32 42 44 54 56 84 86	-735299194404
SPT(16)	2128513852489927907	0 26 50 56 60 90 110 146 210 246 266 296 300 306 330 356	-669055083354
TPT(14)	2128514140567749509	0 2 12 14 78 80 180 182 210 212 288 290 318 320	-380977261752
TPT(14)	2128514243455393289	0 2 108 110 150 152 198 200 222 224 390 392 402 404	-278089617972
STPT(10)	2128514830487702981	0 2 36 38 78 80 120 122 156 158	308942691720
SPT(16)	2128514901427952473	0 24 46 66 76 100 126 150 154 178 204 228 238 258 280 304	379882941212
STPT(10)	2128514919954067217	0 2 60 62 72 74 84 86 144 146	398409055956
STPT(10)	2128515168812911127	0 2 12 14 42 44 72 74 84 86	647267899866
SPT(16)	2128515431960636153	0 50 80 110 116 120 168 186 260 278 326 330 336 366 396 446	910415624892