Prime p₀= 2259028060521879389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 76 2 58 2 10 2 28 2 76 2 (?)
a_n: 0 2 72 74 150 152 210 212 222 224 252 254 330 332
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: 332
Found by: Orange Kid
db: batch=81, k=14, 70 76 58 10 28 76

SPT(16)	2259026555892774457	0 34 72 82 130 132 154 160 234 240 262 264 312 322 360 394	-1504629104932
STPT(10)	2259026987766563657	0 2 24 26 42 44 60 62 84 86	-1072755315732
STPT(10)	2259027374500373171	0 2 30 32 60 62 90 92 120 122	-686021506218
SPT(16)	2259027733903874191	0 18 30 48 60 76 90 118 150 178 192 208 220 238 250 268	-326618005198
SPT(16)	2259027811107030641	0 12 86 108 126 140 150 152 186 188 198 212 230 252 326 338	-249414848748
STPT(10)	2259027910564526219	0 2 18 20 30 32 42 44 60 62	-149957353170
TPT(14)	2259028200162678311	0 2 6 8 48 50 96 98 120 122 288 290 360 362	139640798922
SPT(16)	2259028375390886431	0 12 48 78 112 150 178 190 210 222 250 288 322 352 388 400	314869007042
SPT(16)	2259028518971956439	0 12 44 78 134 210 212 252 380 420 422 498 554 588 620 632	458450077050
STPT(10)	2259028572761312237	0 2 54 56 72 74 90 92 144 146	512239432848
STPT(10)	2259028680183201917	0 2 12 14 42 44 72 74 84 86	619661322528