Prime p₀= 2222374619303599127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 118 2

SPT(16)	2222373829721294273	0 26 44 48 50 96 114 168 176 230 248 294 296 300 318 344	-789582304854
SPT(16)	2222374040135983561	0 22 46 48 126 132 172 282 286 396 436 442 520 522 546 568	-579167615566
SPT(16)	2222374187672180219	0 20 30 32 60 90 98 132 140 174 182 212 240 242 252 272	-431631418908
STPT(10)	2222374385272432211	0 2 6 8 18 20 30 32 36 38	-234031166916
STPT(10)	2222374443144366419	0 2 18 20 30 32 42 44 60 62	-176159232708
TPT(14)	2222374519625183849	0 2 30 32 48 50 120 122 252 254 300 302 312 314	-99678415278
SPT(16)	2222374709133424579	0 18 24 30 54 60 90 94 174 178 208 214 238 244 250 268	89829825452
SPT(16)	2222374789804238317	0 22 34 54 96 106 112 120 166 174 180 190 232 252 264 286	170500639190
SPT(16)	2222375309040543113	0 8 14 20 48 80 84 108 140 164 168 200 228 234 240 248	689736943986
SPT(16)	2222375361561191251	0 10 16 22 42 70 90 106 162 178 198 226 246 252 258 268	742257592124
SPT(16)	2222375498646546473	0 26 48 60 68 80 170 228 236 294 384 396 404 416 438 464	879342947346