Prime p₀= 2325032503838816687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2325031502473258793	0 26 54 74 110 194 258 260 264 266 330 414 450 470 498 524	-1001365557894
STPT(10)	2325031568843266571	0 2 30 32 138 140 246 248 276 278	-934995550116
SPT(16)	2325031689612149477	0 12 32 50 60 92 182 200 246 264 354 386 396 414 434 446	-814226667210
SPT(16)	2325031928856241447	0 66 72 82 90 96 100 160 216 276 280 286 294 304 310 376	-574982575240
TPT(14)	2325032110564148309	0 2 18 20 102 104 120 122 252 254 258 260 288 290	-393274668378
SPT(16)	2325032415229015399	0 34 64 78 90 118 130 144 154 168 180 208 220 234 264 298	-88609801288
STPT(10)	2325032643443098187	0 2 30 32 42 44 54 56 84 86	139604281500
SPT(16)	2325032981551171189	0 4 12 22 48 58 162 172 240 250 354 364 390 400 408 412	477712354502
SPT(16)	2325033486156127121	0 18 48 56 86 126 170 180 218 228 272 312 342 350 380 398	982317310434
STPT(10)	2325033517447297367	0 2 42 44 72 74 102 104 144 146	1013608480680
SPT(16)	2325034017479486647	0 10 22 34 46 76 120 124 132 136 180 210 222 234 246 256	1513640669960