Prime p₀= 865975560162263867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 124 2 10 2 340 2 76 2 (?)
a_n: 0 2 24 26 54 56 180 182 192 194 534 536 612 614
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: 614
Found by: RFGuy_KCCO
db: batch=73, k=14, 22 28 124 10 340 76

SPT(16)	865973931524986997	0 32 56 62 74 86 110 144 182 216 240 252 264 270 294 326	-1628637276870
SPT(16)	865974179101796087	0 42 72 92 116 120 140 176 186 222 242 246 270 290 320 362	-1381060467780
STPT(10)	865974535493780327	0 2 24 26 42 44 60 62 84 86	-1024668483540
TPT(14)	865975017259439621	0 2 48 50 216 218 288 290 330 332 336 338 378 380	-542902824246
STPT(10)	865975036402263839	0 2 42 44 60 62 78 80 120 122	-523760000028
SPT(16)	865975504350127321	0 12 30 82 100 126 132 148 210 226 232 258 276 328 346 358	-55812136546
STPT(10)	865975605891669587	0 2 12 14 42 44 72 74 84 86	45729405720
SPT(16)	865975809427614427	0 42 112 120 132 142 190 210 232 252 300 310 322 330 400 442	249265350560
TPT(14)	865975895249752247	0 2 102 104 240 242 252 254 312 314 450 452 462 464	335087488380
SPT(16)	865976205942031549	0 40 54 84 94 100 114 144 178 208 222 228 238 268 282 322	645779767682
SPT(16)	865976258916213239	0 12 20 32 42 54 72 90 152 170 188 200 210 222 230 242	698753949372