Prime p₀= 2317796868556873931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: eclipse99
db: batch=81, k=10, 2 76 2 28 2

SPT(16)	2317795509237832699	0 34 48 70 108 150 174 220 228 274 298 340 378 400 414 448	-1359319041232
SPT(13)	2317795553707077247	0 30 66 84 126 144 150 156 174 216 234 270 300	-1314849796684
STPT(10)	2317795820366122709	0 2 18 20 30 32 42 44 60 62	-1048190751222
STPT(10)	2317796131049798261	0 2 36 38 78 80 120 122 156 158	-737507075670
SPT(18)	2317796184416018123	0 38 48 54 96 110 188 200 210 254 264 276 354 368 410 416 426 464	-684140855808
TPT(14)	2317796395655701241	0 2 78 80 108 110 210 212 246 248 288 290 318 320	-472901172690
STPT(10)	2317797456118829051	0 2 6 8 48 50 90 92 96 98	587561955120
SPT(16)	2317797704889080819	0 42 62 74 80 84 108 122 150 164 188 192 198 210 230 272	836332206888
SPT(16)	2317797926874860371	0 18 30 36 42 90 112 156 172 216 238 286 292 298 310 328	1058317986440
STPT(10)	2317798029957480281	0 2 30 32 78 80 126 128 156 158	1161400606350
STPT(10)	2317798213290790187	0 2 60 62 72 74 84 86 144 146	1344733916256