Prime p₀= 1675878051744563237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 136 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 102 104 240 242 264 266 270 272 294 296 312 314
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: 314
Found by: CoolAtchOk
db: batch=79, k=14, 100 136 22 4 22 16

SPT(16)	1675877212377345193	0 84 126 154 178 216 228 244 270 286 298 336 360 388 430 514	-839367218044
SPT(16)	1675877302561239887	0 36 50 72 74 102 110 140 156 186 194 222 224 246 260 296	-749183323350
SPT(16)	1675877516771563751	0 20 32 42 66 78 92 116 132 156 170 182 206 216 228 248	-534972999486
SPT(20)	1675877546350734901	0 18 40 72 88 118 192 202 220 226 252 258 276 286 360 390 406 438 460 478	-505393828336
SPT(16)	1675877610910725403	0 10 24 108 126 150 156 166 198 208 214 238 256 340 354 364	-440833837834
SPT(16)	1675877805879985249	0 10 48 54 78 84 90 124 234 268 274 280 304 310 348 358	-245864577988
STPT(10)	1675879277503497509	0 2 42 44 60 62 78 80 120 122	1225758934272
STPT(10)	1675879522960937561	0 2 36 38 78 80 120 122 156 158	1471216374324
STPT(10)	1675880506716478157	0 2 30 32 42 44 54 56 84 86	2454971914920
SPT(20)	1675880553643585747	0 12 96 112 132 150 162 276 360 366 370 376 460 574 586 604 624 640 724 736	2501899022510
SPT(16)	1675880674226631647	0 24 32 42 54 92 146 162 164 180 234 272 284 294 302 326	2622482068410