Prime p₀= 2313664878531722237 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(12)	2313662977046323907	0 2 30 32 54 56 90 92 114 116 144 146	-1901485398330
SPT(16)	2313663186391155811	0 10 16 18 28 46 66 88 198 220 240 258 268 270 276 286	-1692140566426
SPT(16)	2313663333491839969	0 28 40 48 70 100 148 168 190 210 258 288 310 318 330 358	-1545039882268
SPT(16)	2313663393329128187	0 50 72 74 92 114 120 144 152 176 182 204 222 224 246 296	-1485202594050
SPT(16)	2313663425870397329	0 14 54 80 114 144 152 192 242 282 290 320 354 380 420 434	-1452661324908
TPT(14)	2313664684879381409	0 2 42 44 90 92 102 104 132 134 162 164 168 170	-193652340828
TPT(14)	2313665192029698671	0 2 90 92 216 218 300 302 360 362 378 380 420 422	313497976434
STPT(10)	2313665768990916251	0 2 6 8 18 20 30 32 36 38	890459194014
STPT(10)	2313665797487413511	0 2 6 8 18 20 30 32 36 38	918955691274
SPT(16)	2313665980797211571	0 42 48 60 116 128 156 168 200 212 240 252 308 320 326 368	1102265489334
STPT(10)	2313666514120106441	0 2 6 8 18 20 30 32 36 38	1635588384204