Prime p₀= 2329141859147441411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 232 2 4 2 28 2 10 2 (?)
a_n: 0 2 6 8 66 68 300 302 306 308 336 338 348 350
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: 350
Found by: Landjunge
db: batch=81, k=14, 4 58 232 4 28 10

STPT(10)	2329139518455480761	0 2 30 32 60 62 90 92 120 122	-2340691960650
TPT(14)	2329140408589267319	0 2 60 62 72 74 138 140 180 182 258 260 270 272	-1450558174092
SPT(16)	2329140697291706057	0 14 30 50 110 134 140 144 170 174 180 204 264 284 300 314	-1161855735354
SPT(16)	2329140906077365711	0 28 36 66 102 108 126 136 162 172 190 196 232 262 270 298	-953070075700
TPT(14)	2329141239462646151	0 2 48 50 138 140 186 188 270 272 336 338 366 368	-619684795260
SPT(16)	2329141292999421673	0 34 54 90 106 120 126 168 196 238 244 258 274 310 330 364	-566148019738
TPT(14)	2329141940000798939	0 2 30 32 42 44 228 230 240 242 252 254 258 260	80853357528
STPT(10)	2329141942833189269	0 2 30 32 60 62 90 92 120 122	83685747858
SPT(16)	2329142085337251529	0 28 42 48 78 90 118 130 192 204 232 244 274 280 294 322	226189810118
SPT(16)	2329142308948801909	0 34 40 82 132 138 192 244 258 310 364 370 420 462 468 502	449801360498
STPT(10)	2329142617514930207	0 2 12 14 42 44 72 74 84 86	758367488796