Prime p₀= 2362617702652957157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2362616401903975057	0 40 42 46 70 100 126 130 192 196 222 252 276 280 282 322	-1300748982100
STPT(10)	2362616748079493207	0 2 30 32 42 44 54 56 84 86	-954573463950
SPT(16)	2362616786100102979	0 12 30 52 54 100 118 130 222 234 252 298 300 322 340 352	-916552854178
SPT(16)	2362617259316124583	0 6 48 64 70 84 100 136 138 174 190 204 210 226 268 274	-443336832574
SPT(16)	2362617471503572081	0 10 16 58 60 88 102 120 178 196 210 238 240 282 288 298	-231149385076
TPT(14)	2362617674204751671	0 2 30 32 66 68 78 80 108 110 120 122 138 140	-28448205486
SPT(16)	2362617901683866797	0 12 22 34 40 60 84 120 136 172 196 216 222 234 244 256	199030909640
SPT(16)	2362617919585547567	0 32 80 104 126 164 182 216 290 324 342 380 402 426 474 506	216932590410
SPT(16)	2362618221162868133	0 24 38 44 86 98 134 156 188 210 246 258 300 306 320 344	518509910976
STPT(10)	2362618690997793209	0 2 42 44 60 62 78 80 120 122	988344836052
SPT(16)	2362618785768540227	0 14 42 80 92 96 110 132 194 216 230 234 246 284 312 326	1083115583070