Prime p₀= 4503978768888575609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: Antares2022
db: batch=85, k=10, 2 40 2 46 2

SPT(16)	4503977014340026021	0 16 22 82 88 142 186 208 210 232 276 330 336 396 402 418	-1754548549588
SPT(16)	4503977664083595287	0 6 62 66 74 84 90 102 104 116 122 132 140 144 200 206	-1104804980322
STPT(10)	4503977686455304151	0 2 6 8 48 50 90 92 96 98	-1082433271458
SPT(16)	4503977741293098781	0 12 30 66 82 96 100 130 138 168 172 186 202 238 256 268	-1027595476828
SPT(16)	4503977799214566487	0 24 42 52 64 96 100 156 190 246 250 282 294 304 322 346	-969674009122
SPT(16)	4503977943060492209	0 108 120 140 152 162 188 218 222 252 278 288 300 320 332 440	-825828083400
STPT(10)	4503979206101266217	0 2 42 44 72 74 102 104 144 146	437212690608
SPT(16)	4503979438060156099	0 34 52 114 132 154 174 180 262 268 288 310 328 390 408 442	669171580490
STPT(10)	4503980323107400547	0 2 24 26 42 44 60 62 84 86	1554218824938
TPT(14)	4503981229463752481	0 2 18 20 30 32 96 98 186 188 228 230 258 260	2460575176872
TPT(14)	4503981400140227309	0 2 42 44 78 80 120 122 150 152 210 212 300 302	2631251651700