Prime p₀= 2217296763285270767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Penguin
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2217295452424536493	0 18 28 34 36 94 130 136 168 174 210 268 270 276 286 304	-1310860734274
STPT(10)	2217295767588568361	0 2 30 32 78 80 126 128 156 158	-995696702406
STPT(10)	2217295904400208067	0 2 60 62 102 104 144 146 204 206	-858885062700
TPT(14)	2217296352172875929	0 2 18 20 48 50 102 104 132 134 138 140 168 170	-411112394838
SPT(16)	2217296536808149351	0 36 76 88 130 136 156 172 216 232 252 258 300 312 352 388	-226477121416
SPT(20)	2217296596405069717	0 30 52 90 114 142 184 192 244 306 340 402 454 462 504 532 556 594 616 646	-166880201050
TPT(14)	2217296830268461229	0 2 30 32 78 80 120 122 162 164 198 200 210 212	66983190462
SPT(16)	2217297054731733899	0 14 42 60 74 80 110 150 152 192 222 228 242 260 288 302	291446463132
SPT(16)	2217297077726998847	0 2 24 42 74 86 110 114 182 186 210 222 254 272 294 296	314441728080
STPT(10)	2217297103045853417	0 2 30 32 42 44 54 56 84 86	339760582650
SPT(16)	2217297166752163297	0 46 76 84 90 102 154 162 214 222 274 286 292 300 330 376	403466892530