Prime p₀= 2112794164163059547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 82 2 28 2 106 2 16 2 52 2 (?)
a_n: 0 2 60 62 144 146 174 176 282 284 300 302 354 356
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: 356
Found by: Coleslaw
db: batch=80, k=14, 58 82 28 106 16 52

STPT(10)	2112793549598483417	0 2 30 32 42 44 54 56 84 86	-614564576130
SPT(16)	2112793583264598853	0 6 28 58 106 114 154 190 204 240 280 288 336 366 388 394	-580898460694
SPT(16)	2112793937282888273	0 18 36 44 78 98 108 128 156 176 186 206 240 248 266 284	-226880171274
STPT(10)	2112793966600560569	0 2 18 20 30 32 42 44 60 62	-197562498978
SPT(16)	2112793996319891347	0 12 30 40 106 130 154 184 192 222 246 270 336 346 364 376	-167843168200
SPT(16)	2112794082720080191	0 28 46 76 90 112 180 208 300 328 396 418 432 462 480 508	-81442979356
STPT(10)	2112794712289878311	0 2 30 32 60 62 90 92 120 122	548126818764
SPT(16)	2112794810582273149	0 28 78 142 148 168 178 210 232 264 274 294 300 364 414 442	646419213602
SPT(16)	2112794996507111989	0 10 30 72 90 102 118 120 142 144 160 172 190 232 252 262	832344052442
SPT(16)	2112795049610134139	0 42 50 54 60 134 138 174 188 224 228 302 308 312 320 362	885447074592
STPT(10)	2112795442179893291	0 2 6 8 18 20 30 32 36 38	1278016833744