Prime p₀= 2356276707078332417 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2356275866707978619	0 20 48 54 78 104 120 180 182 242 258 284 308 314 342 362	-840370353798
SPT(16)	2356275924054695231	0 26 30 36 50 66 68 122 156 210 212 228 242 248 252 278	-783023637186
SPT(13)	2356276011900240851	0 18 42 72 150 198 210 222 270 348 378 402 420	-695178091566
SPT(16)	2356276123636411261	0 10 22 42 90 112 120 130 150 160 168 190 238 258 270 280	-583441921156
TPT(14)	2356276416028128029	0 2 42 44 72 74 78 80 210 212 228 230 252 254	-291050204388
STPT(10)	2356276525186085399	0 2 78 80 120 122 162 164 240 242	-181892247018
STPT(10)	2356277345038544969	0 2 18 20 30 32 42 44 60 62	637960212552
SPT(16)	2356277527574698843	0 10 34 58 66 84 96 108 166 178 190 208 216 240 264 274	820496366426
SPT(16)	2356277539234932043	0 34 40 48 66 100 150 156 178 184 234 268 286 294 300 334	832156599626
SPT(16)	2356278355779589139	0 8 12 30 42 78 84 110 192 218 224 260 272 290 294 302	1648701256722
TPT(14)	2356278501100489727	0 2 102 104 144 146 180 182 420 422 480 482 522 524	1794022157310