Prime p₀= 1587876958809175421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 34 2 100 2 58 2 40 2 (?)
a_n: 0 2 60 62 90 92 126 128 228 230 288 290 330 332
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: 332
Found by: matsu_pl
db: batch=78, k=14, 58 28 34 100 58 40

SPT(16)	1587875289395428279	0 30 42 58 82 88 114 124 168 178 204 210 234 250 262 292	-1669413747142
TPT(14)	1587875481737172707	0 2 30 32 60 62 210 212 300 302 312 314 330 332	-1477072002714
SPT(16)	1587875582250913253	0 36 44 60 78 86 188 246 278 336 438 446 464 480 488 524	-1376558262168
SPT(16)	1587876236023641331	0 10 48 60 118 192 196 216 232 252 256 330 388 400 438 448	-722785534090
SPT(20)	1587876825847874297	0 30 50 80 86 110 126 140 156 204 296 344 360 374 390 414 420 450 470 500	-132961301124
STPT(10)	1587876907100644709	0 2 42 44 150 152 258 260 300 302	-51708530712
STPT(10)	1587877016842187177	0 2 30 32 42 44 54 56 84 86	58033011756
STPT(10)	1587877044271376657	0 2 30 32 42 44 54 56 84 86	85462201236
SPT(16)	1587877300159054327	0 10 24 42 52 82 120 124 180 184 222 252 262 280 294 304	341349878906
STPT(10)	1587878726590450961	0 2 6 8 18 20 30 32 36 38	1767781275540
STPT(10)	1587878907525351767	0 2 60 62 72 74 84 86 144 146	1948716176346