Prime p₀= 2041639228197760337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 166 2 40 2 130 2 34 2 40 2 (?)
a_n: 0 2 12 14 180 182 222 224 354 356 390 392 432 434
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: 434
Found by: LeChat51X
db: batch=80, k=14, 10 166 40 130 34 40

SPT(16)	2041638203277916039	0 4 34 40 54 70 88 112 150 174 192 208 222 228 258 262	-1024919844298
STPT(12)	2041638428426085869	0 2 30 32 48 50 72 74 90 92 120 122	-799771674468
SPT(16)	2041638606199810733	0 14 114 140 188 206 254 308 456 510 558 576 624 650 750 764	-621997949604
SPT(16)	2041638639414907369	0 4 12 70 114 174 180 202 210 232 238 298 342 400 408 412	-588782852968
STPT(10)	2041638963018600269	0 2 18 20 30 32 42 44 60 62	-265179160068
STPT(10)	2041638967071264389	0 2 48 50 90 92 132 134 180 182	-261126495948
SPT(16)	2041639540754854289	0 18 42 44 74 90 104 134 138 168 182 198 228 230 254 272	312557093952
SPT(16)	2041639691186747291	0 56 80 92 96 138 156 168 290 302 320 362 366 378 402 458	462988986954
STPT(10)	2041639810212669179	0 2 42 44 120 122 198 200 240 242	582014908842
STPT(10)	2041640101912742867	0 2 30 32 42 44 54 56 84 86	873714982530
SPT(16)	2041640201865435247	0 30 42 52 60 70 72 136 216 280 282 292 300 310 322 352	973667674910