Prime p₀= 2589765210698799041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 46 2 16 2 70 2 40 2 (?)
a_n: 0 2 30 32 60 62 108 110 126 128 198 200 240 242
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: 242
Found by: fzs600
db: batch=82, k=14, 28 28 46 16 70 40

SPT(16)	2589762649103010817	0 16 30 36 72 120 126 132 184 190 196 244 280 286 300 316	-2561595788224
SPT(16)	2589763143386019917	0 24 66 84 96 140 162 170 276 284 306 350 362 380 422 446	-2067312779124
STPT(10)	2589763620873607439	0 2 18 20 30 32 42 44 60 62	-1589825191602
SPT(16)	2589763874077230217	0 30 42 52 66 76 82 94 222 234 240 250 264 274 286 316	-1336621568824
STPT(12)	2589763947409411139	0 2 12 14 42 44 48 50 78 80 90 92	-1263289387902
STPT(10)	2589764655151016027	0 2 24 26 42 44 60 62 84 86	-555547783014
TPT(14)	2589765522579896081	0 2 66 68 78 80 120 122 306 308 330 332 366 368	311881097040
SPT(16)	2589765759848078041	0 70 102 130 156 168 180 216 292 328 340 352 378 406 438 508	549149279000
SPT(16)	2589766073530598857	0 10 12 24 30 52 60 72 82 94 102 124 130 142 144 154	862831799816
SPT(16)	2589766720504474333	0 4 28 40 58 70 88 118 180 210 228 240 258 270 294 298	1509805675292
STPT(10)	2589767161842504377	0 2 30 32 42 44 54 56 84 86	1951143705336