Prime p₀= 2314801459481928551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2314800103143124133	0 20 38 56 60 66 110 116 168 174 218 224 228 246 264 284	-1356338804418
SPT(16)	2314800239928988589	0 8 30 44 50 74 120 140 228 248 294 318 324 338 360 368	-1219552939962
SPT(16)	2314800683513728979	0 24 38 44 60 92 114 140 192 218 240 272 288 294 308 332	-775968199572
SPT(16)	2314800752464251437	0 12 60 72 144 170 182 200 204 222 234 260 332 344 392 404	-707017677114
TPT(14)	2314801211192361959	0 2 60 62 198 200 222 224 270 272 300 302 312 314	-248289566592
SPT(16)	2314801412526857663	0 6 56 96 114 128 140 164 180 204 216 230 248 288 338 344	-46955070888
STPT(10)	2314801646364746807	0 2 90 92 102 104 114 116 204 206	186882818256
TPT(14)	2314801868517746939	0 2 42 44 48 50 90 92 198 200 240 242 270 272	409035818388
STPT(12)	2314802045745104717	0 2 84 86 102 104 222 224 240 242 324 326	586263176166
SPT(16)	2314802276546431883	0 14 50 60 66 74 78 96 98 116 120 128 134 144 180 194	817064503332
STPT(10)	2314802528101030151	0 2 30 32 60 62 90 92 120 122	1068619101600