Prime p₀= 2167243644513608357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	2167242085609108843	0 10 34 46 66 96 124 136 294 306 334 364 384 396 420 430	-1558904499514
SPT(16)	2167242261953218171	0 10 16 18 30 40 60 88 150 178 198 208 220 222 228 238	-1382560390186
TPT(14)	2167242879544376657	0 2 90 92 174 176 210 212 240 242 270 272 312 314	-764969231700
SPT(20)	2167243263346446517	0 22 24 46 60 72 94 130 144 156 220 232 246 282 304 316 330 352 354 376	-381167161840
STPT(10)	2167243281945089981	0 2 6 8 48 50 90 92 96 98	-362568518376
SPT(16)	2167243469035901467	0 52 70 72 94 100 102 120 136 154 156 162 184 186 204 256	-175477706890
SPT(16)	2167244069904491093	0 20 38 60 80 104 116 200 234 318 330 354 374 396 414 434	425390882736
STPT(10)	2167245058839455009	0 2 18 20 30 32 42 44 60 62	1414325846652
STPT(10)	2167245118976989211	0 2 66 68 138 140 210 212 276 278	1474463380854
STPT(10)	2167245638752136387	0 2 30 32 42 44 54 56 84 86	1994238528030
SPT(16)	2167246031468046229	0 4 24 52 72 94 100 120 172 192 198 220 240 268 288 292	2386954437872