Prime p₀= 2865141810962512127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2865140065803118427	0 2 30 74 114 134 174 200 216 242 282 302 342 386 414 416	-1745159393700
SPT(16)	2865140181512726101	0 46 70 78 90 96 112 130 168 186 202 208 220 228 252 298	-1629449786026
STPT(10)	2865140334167126921	0 2 6 8 48 50 90 92 96 98	-1476795385206
STPT(10)	2865140518872991661	0 2 30 32 78 80 126 128 156 158	-1292089520466
TPT(14)	2865140975152480559	0 2 132 134 138 140 162 164 300 302 588 590 600 602	-835810031568
STPT(10)	2865141114737070077	0 2 30 32 42 44 54 56 84 86	-696225442050
SPT(16)	2865142929421543747	0 42 54 64 106 124 126 132 274 280 282 300 342 352 364 406	1118459031620
SPT(16)	2865143310109042847	0 30 66 150 152 174 176 180 206 210 212 234 236 320 356 386	1499146530720
SPT(16)	2865143329122852751	0 28 46 52 100 108 112 120 178 186 190 198 246 252 270 298	1518160340624
STPT(10)	2865143379427881449	0 2 42 44 60 62 78 80 120 122	1568465369322
SPT(16)	2865143930599292161	0 28 30 52 112 150 222 228 262 268 340 378 438 460 462 490	2119636780034