Prime p₀= 2568686587984506131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2568685272396575219	0 2 18 20 30 32 42 44 60 62	-1315587930912
SPT(16)	2568685587154907833	0 4 16 30 40 48 88 100 144 156 196 204 214 228 240 244	-1000829598298
SPT(16)	2568685960175007619	0 24 60 172 228 238 268 282 310 324 354 364 420 532 568 592	-627809498512
SPT(16)	2568686157537936641	0 50 78 80 86 126 162 168 170 176 212 252 258 260 288 338	-430446569490
SPT(16)	2568686180895019247	0 2 32 56 60 80 122 132 164 174 216 236 240 264 294 296	-407089486884
STPT(10)	2568686464061772281	0 2 6 8 108 110 210 212 216 218	-123922733850
SPT(16)	2568686926833833161	0 6 10 42 46 66 70 76 126 132 136 156 160 192 196 202	338849327030
TPT(14)	2568686935528660799	0 2 72 74 210 212 312 314 438 440 450 452 492 494	347544154668
SPT(16)	2568686974096718191	0 16 48 72 78 100 112 118 120 126 138 160 166 190 222 238	386112212060
STPT(10)	2568687270603569639	0 2 18 20 30 32 42 44 60 62	682619063508
STPT(10)	2568687361083689891	0 2 36 38 108 110 180 182 216 218	773099183760