Prime p₀= 2002404553271959061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 208 2 40 2 16 2 (?)
a_n: 0 2 30 32 66 68 78 80 288 290 330 332 348 350
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=80, k=14, 28 34 10 208 40 16

STPT(10)	2002403828213887961	0 2 30 32 78 80 126 128 156 158	-725058071100
SPT(16)	2002404326175924551	0 18 26 38 72 116 138 152 156 170 192 236 270 282 290 308	-227096034510
SPT(16)	2002404384881867339	0 20 38 90 120 140 182 198 224 240 282 302 332 384 402 422	-168390091722
SPT(16)	2002404439302930239	0 20 24 62 68 80 84 122 180 218 222 234 240 278 282 302	-113969028822
STPT(12)	2002404466591396277	0 2 42 44 54 56 90 92 102 104 144 146	-86680562784
STPT(10)	2002404516385650899	0 2 18 20 30 32 42 44 60 62	-36886308162
SPT(16)	2002405198066587607	0 30 46 72 76 96 130 172 210 252 286 306 310 336 352 382	644794628546
SPT(16)	2002405298922645713	0 6 24 38 50 66 96 134 180 218 248 264 276 290 308 314	745650686652
SPT(16)	2002405485484626037	0 12 30 34 70 160 202 222 232 252 294 384 420 424 442 454	932212666976
SPT(16)	2002406001421283501	0 38 156 180 182 228 242 270 458 486 500 546 548 572 690 728	1448149324440
STPT(10)	2002406187181667261	0 2 36 38 78 80 120 122 156 158	1633909708200