Prime p₀= 2942649182412559601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 4 2 28 2 52 2 34 2 (?)
a_n: 0 2 60 62 120 122 126 128 156 158 210 212 246 248
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: 248
Found by: Alnitak2019
db: batch=82, k=14, 58 58 4 28 52 34

SPT(16)	2942648527743487859	0 8 18 24 62 72 92 102 230 240 260 270 308 314 324 332	-654669071742
SPT(16)	2942648671697785711	0 6 82 108 118 126 136 138 220 222 232 240 250 276 352 358	-510714773890
SPT(16)	2942648741091022583	0 8 50 240 246 266 294 296 378 380 408 428 434 624 666 674	-441321537018
STPT(10)	2942648798375763077	0 2 12 14 42 44 72 74 84 86	-384036796524
SPT(16)	2942648869379325131	0 2 6 20 48 56 62 98 270 306 312 320 348 362 366 368	-313033234470
SPT(16)	2942648920230642449	0 8 30 68 92 134 138 168 194 224 228 270 294 332 354 362	-262181917152
SPT(16)	2942649728322806587	0 52 60 72 114 126 150 166 210 226 250 262 304 316 324 376	545910246986
SPT(16)	2942649865920135799	0 24 28 30 42 84 114 142 150 178 208 250 262 264 268 292	683507576198
STPT(10)	2942650512493563491	0 2 6 8 48 50 90 92 96 98	1330081003890
SPT(16)	2942650732641172477	0 22 106 124 262 334 354 360 436 442 462 534 672 690 774 796	1550228612876
SPT(16)	2942650839869600281	0 36 42 108 118 148 160 190 258 288 300 330 340 406 412 448	1657457040680