Prime p₀= 2621711371502344937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 28 2 160 2 10 2 (?)
a_n: 0 2 30 32 54 56 60 62 90 92 252 254 264 266
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: [SG-2W]Kurzer
db: batch=82, k=14, 28 22 4 28 160 10

STPT(10)	2621710503891889409	0 2 18 20 30 32 42 44 60 62	-867610455528
STPT(10)	2621710779753641669	0 2 18 20 30 32 42 44 60 62	-591748703268
SPT(16)	2621710815178333331	0 48 120 140 150 162 168 188 222 242 248 260 270 290 362 410	-556324011606
SPT(16)	2621710870103165861	0 12 20 38 98 108 122 140 150 168 182 192 252 270 278 290	-501399179076
STPT(10)	2621711136178234559	0 2 18 20 30 32 42 44 60 62	-235324110378
SPT(16)	2621711295494518387	0 30 42 94 112 144 196 226 270 300 352 384 402 454 466 496	-76007826550
STPT(10)	2621711737158350531	0 2 30 32 60 62 90 92 120 122	365656005594
SPT(16)	2621711924147133239	0 14 30 38 44 74 78 114 134 170 174 204 210 218 234 248	552644788302
SPT(16)	2621712028255068767	0 6 20 90 104 120 156 182 204 230 266 282 296 366 380 386	656752723830
STPT(10)	2621712590039942429	0 2 42 44 120 122 198 200 240 242	1218537597492
STPT(10)	2621712720943687199	0 2 48 50 90 92 132 134 180 182	1349441342262