Prime p₀= 2574627900946810559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 46 2 40 2

SPT(20)	2574627018185198269	0 18 42 144 150 208 222 234 238 264 298 324 328 340 354 412 418 520 544 562	-882761612290
SPT(16)	2574627353489361367	0 16 22 70 124 142 162 172 204 214 234 252 306 354 360 376	-547457449192
SPT(13)	2574627437791236413	0 6 18 48 60 186 258 330 456 468 498 510 516	-463155574146
STPT(10)	2574627575345378867	0 2 12 14 42 44 72 74 84 86	-325601431692
STPT(10)	2574627863412448841	0 2 6 8 48 50 90 92 96 98	-37534361718
SPT(16)	2574627868359465313	0 16 24 28 70 154 184 238 246 300 330 414 456 460 468 484	-32587345246
TPT(14)	2574627946682381411	0 2 48 50 258 260 306 308 546 548 570 572 678 680	45735570852
STPT(10)	2574628403367166841	0 2 36 38 78 80 120 122 156 158	502420356282
SPT(16)	2574629126300623411	0 28 42 78 88 130 148 160 180 192 210 252 262 298 312 340	1225353812852
STPT(10)	2574629231732023979	0 2 42 44 60 62 78 80 120 122	1330785213420
STPT(10)	2574629657339646617	0 2 60 62 72 74 84 86 144 146	1756392836058