Prime p₀= 2257335683416347377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2257332903542846021	0 2 6 8 48 50 90 92 96 98	-2779873501356
SPT(16)	2257333323496944727	0 6 42 46 66 72 114 136 150 172 214 220 240 244 280 286	-2359919402650
TPT(14)	2257333421063596541	0 2 96 98 156 158 180 182 198 200 210 212 288 290	-2262352750836
STPT(12)	2257333916483844377	0 2 12 14 54 56 60 62 102 104 114 116	-1766932503000
SPT(16)	2257334346360239449	0 30 34 52 78 108 112 118 144 150 154 184 210 228 232 262	-1337056107928
SPT(16)	2257334483823453103	0 18 28 66 70 130 180 198 208 226 276 336 340 378 388 406	-1199592894274
SPT(16)	2257335943416511931	0 32 42 96 110 150 156 180 182 206 212 252 266 320 330 362	260000164554
SPT(18)	2257336281087547603	0 4 58 100 130 136 150 160 166 438 444 454 468 474 504 546 600 604	597671200226
SPT(16)	2257336365766307669	0 2 42 44 50 54 62 78 104 120 128 132 138 140 180 182	682349960292
SPT(16)	2257336370764000027	0 36 60 66 90 102 112 160 162 210 220 232 256 262 286 322	687347652650
STPT(10)	2257336655557962227	0 2 30 32 42 44 54 56 84 86	972141614850