Prime p₀= 2313742306433999939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: Orange Kid
db: batch=81, k=10, 2 40 2 76 2

TPT(14)	2313739090926633749	0 2 12 14 42 44 78 80 168 170 198 200 222 224	-3215507366190
SPT(16)	2313740828840465131	0 46 52 76 106 112 120 130 132 142 150 156 186 210 216 262	-1477593534808
SPT(16)	2313741342851243933	0 26 66 68 78 108 138 140 216 218 248 278 288 290 330 356	-963582756006
STPT(10)	2313741523300544459	0 2 12 14 90 92 168 170 180 182	-783133455480
STPT(10)	2313741708920370317	0 2 30 32 42 44 54 56 84 86	-597513629622
SPT(16)	2313742210914175523	0 66 74 174 186 206 230 236 264 270 294 314 326 426 434 500	-95519824416
SPT(16)	2313742320409759289	0 18 44 72 78 110 122 164 198 240 252 284 290 318 344 362	13975759350
SPT(16)	2313742355658817957	0 52 82 100 102 130 150 180 184 214 234 262 264 282 312 364	49224818018
SPT(16)	2313742516761513529	0 30 42 58 70 108 112 132 178 198 202 240 252 268 280 310	210327513590
SPT(16)	2313742869690270737	0 14 80 102 104 132 134 192 242 300 302 330 332 354 420 434	563256270798
SPT(16)	2313742980464584463	0 6 18 54 110 116 138 146 168 176 198 204 260 296 308 314	674030584524