Prime p₀= 2428474091081813651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: paulteo
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2428472677785664439	0 24 80 164 198 210 228 234 284 290 308 320 354 438 494 518	-1413296149212
SPT(16)	2428472709899408573	0 8 38 48 86 120 140 174 290 324 344 378 416 426 456 464	-1381182405078
SPT(16)	2428473046653627569	0 18 30 38 68 98 134 170 192 228 264 294 324 332 344 362	-1044428186082
SPT(16)	2428473114280406521	0 6 40 48 52 58 82 100 168 186 210 216 220 228 262 268	-976801407130
SPT(16)	2428473703917112297	0 76 94 106 112 120 144 154 252 262 286 294 300 312 330 406	-387164701354
SPT(16)	2428474047634695811	0 22 36 46 76 132 142 156 232 246 256 312 342 352 366 388	-43447117840
SPT(16)	2428475154310767011	0 62 66 80 90 92 102 132 176 206 216 218 228 242 246 308	1063228953360
STPT(10)	2428475155226003669	0 2 30 32 60 62 90 92 120 122	1064144190018
STPT(10)	2428476118878024539	0 2 42 44 60 62 78 80 120 122	2027796210888
SPT(16)	2428476186176531429	0 2 30 44 74 80 108 120 122 134 162 168 198 212 240 242	2095094717778
SPT(16)	2428476716967229163	0 14 50 174 180 198 210 218 300 308 320 338 344 468 504 518	2625885415512