Prime p₀= 2320302751547083109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 76 2 40 2

SPT(16)	2320302237141774881	0 6 30 36 66 108 116 120 128 132 140 182 212 218 242 248	-514405308228
SPT(16)	2320302513717429019	0 22 34 60 64 78 108 120 142 154 184 198 202 228 240 262	-237829654090
STPT(10)	2320302515672533277	0 2 30 32 42 44 54 56 84 86	-235874549832
SPT(16)	2320302566640331727	0 26 60 86 114 174 180 200 210 230 236 296 324 350 384 410	-184906751382
SPT(13)	2320302686865120157	0 6 30 72 90 120 126 132 162 180 222 246 252	-64681962952
SPT(16)	2320302726784412197	0 34 64 90 102 130 156 172 174 190 216 244 256 282 312 346	-24762670912
STPT(10)	2320302772833338399	0 2 42 44 120 122 198 200 240 242	21286255290
TPT(14)	2320303132563922661	0 2 36 38 78 80 108 110 126 128 138 140 150 152	381016839552
SPT(16)	2320303210698382339	0 24 28 72 78 162 174 198 244 268 280 364 370 414 418 442	459151299230
SPT(16)	2320303663023883709	0 8 12 30 42 102 152 162 278 288 338 398 410 428 432 440	911476800600
SPT(16)	2320303664843973493	0 24 40 66 100 114 136 144 166 174 196 210 244 270 286 310	913296890384