Prime p₀= 2397283797978326867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 64 2 58 2 70 2 10 2 (?)
a_n: 0 2 42 44 84 86 150 152 210 212 282 284 294 296
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: 296
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 40 40 64 58 70 10

SPT(16)	2397282496245549947	0 12 30 66 74 102 152 156 320 324 374 402 410 446 464 476	-1301732776920
SPT(16)	2397282527841444589	0 10 12 22 40 54 108 112 120 124 178 192 210 220 222 232	-1270136882278
SPT(16)	2397282826262384149	0 84 130 144 150 178 204 250 258 304 330 358 364 378 424 508	-971715942718
SPT(16)	2397283220779925083	0 4 48 60 78 90 114 130 228 244 268 280 298 310 354 358	-577198401784
STPT(12)	2397283486361766647	0 2 12 14 30 32 54 56 72 74 84 86	-311616560220
SPT(16)	2397283797888642721	0 10 28 42 58 60 78 100 198 220 238 240 256 270 288 298	-89684146
SPT(16)	2397283823796069119	0 14 18 38 44 120 164 168 200 204 248 324 330 350 354 368	25817742252
STPT(10)	2397283830893457851	0 2 36 38 78 80 120 122 156 158	32915130984
SPT(16)	2397283881522908407	0 12 24 94 102 112 120 186 190 256 264 274 282 352 364 376	83544581540
STPT(10)	2397284119993349099	0 2 42 44 60 62 78 80 120 122	322015022232
SPT(16)	2397284721945874823	0 14 20 30 38 66 104 168 236 300 338 366 374 384 390 404	923967547956