Prime p₀= 2091522002326243301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 70 2 76 2 58 2 (?)
a_n: 0 2 36 38 48 50 66 68 138 140 216 218 276 278
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: 278
Found by: Landjunge
db: batch=80, k=14, 34 10 16 70 76 58

SPT(16)	2091520950311204939	0 2 48 60 74 102 114 134 198 218 230 258 272 284 330 332	-1052015038362
SPT(16)	2091521048250476221	0 12 16 18 46 66 88 100 108 120 142 162 190 192 196 208	-954075767080
SPT(16)	2091521246961841687	0 10 16 24 46 84 126 136 384 394 436 474 496 504 510 520	-755364401614
STPT(10)	2091521401587835727	0 2 42 44 72 74 102 104 144 146	-600738407574
TPT(14)	2091521459920199819	0 2 30 32 78 80 120 122 150 152 180 182 378 380	-542406043482
SPT(16)	2091521518247331299	0 62 84 98 120 122 140 150 152 162 180 182 204 218 240 302	-484078912002
SPT(16)	2091522497176255303	0 46 108 136 160 174 220 250 264 294 340 354 378 406 468 514	494850012002
STPT(10)	2091522733676633867	0 2 30 32 42 44 54 56 84 86	731350390566
SPT(16)	2091522772669570897	0 4 24 34 40 42 70 72 154 156 184 186 192 202 222 226	770343327596
SPT(16)	2091523040272755499	0 12 22 34 64 78 90 114 208 232 244 258 288 300 310 322	1037946512198
STPT(10)	2091523455397608077	0 2 24 26 42 44 60 62 84 86	1453071364776