Prime p₀= 2367843330841845917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 88 2 16 2 22 2 (?)
a_n: 0 2 30 32 90 92 132 134 222 224 240 242 264 266
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: ChUcK
db: batch=81, k=14, 28 58 40 88 16 22

SPT(16)	2367841054251536989	0 24 52 54 60 72 82 90 94 102 112 124 130 132 160 184	-2276590308928
SPT(16)	2367842048389462277	0 62 66 90 96 110 120 132 140 152 162 176 182 206 210 272	-1282452383640
SPT(16)	2367842360614840609	0 10 34 78 108 120 148 190 348 390 418 430 460 504 528 538	-970227005308
SPT(16)	2367842613334155367	0 12 156 160 166 196 222 232 264 274 300 330 336 340 484 496	-717507690550
SPT(16)	2367842804381686081	0 10 28 46 60 88 142 156 172 186 240 268 282 300 318 328	-526460159836
SPT(16)	2367843089957499533	0 8 54 66 74 144 168 176 228 236 260 330 338 350 396 404	-240884346384
STPT(10)	2367843713588231111	0 2 36 38 78 80 120 122 156 158	382746385194
SPT(16)	2367843976863859763	0 20 80 86 104 170 176 224 240 288 294 360 378 384 444 464	646022013846
SPT(18)	2367844878808402751	0 20 30 62 66 80 86 98 116 132 150 162 168 182 186 218 228 248	1547966556834
STPT(10)	2367845047884133919	0 2 48 50 90 92 132 134 180 182	1717042288002
STPT(10)	2367845668293415337	0 2 24 26 42 44 60 62 84 86	2337451569420