Prime p₀= 2496837232579635269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2496835232000877323	0 30 36 78 114 134 156 164 180 188 210 230 266 308 314 344	-2000578757946
STPT(10)	2496835612506830261	0 2 6 8 18 20 30 32 36 38	-1620072805008
SPT(16)	2496836408221746013	0 54 76 78 156 168 180 220 264 304 316 328 406 408 430 484	-824357889256
SPT(16)	2496836492391819653	0 50 78 126 138 164 186 194 300 308 330 356 368 416 444 494	-740187815616
SPT(16)	2496836622121913899	0 24 48 78 88 90 130 150 172 192 232 234 244 274 298 322	-610457721370
SPT(16)	2496836660185276883	0 90 108 110 144 174 180 224 234 278 284 314 348 350 368 458	-572394358386
STPT(10)	2496837471326077049	0 2 18 20 30 32 42 44 60 62	238746441780
SPT(16)	2496837529656012847	0 36 54 90 132 150 154 156 160 162 166 184 226 262 280 316	297076377578
SPT(16)	2496837553420539029	0 2 38 68 72 74 78 162 200 284 288 290 294 324 360 362	320840903760
SPT(16)	2496837929345499959	0 14 24 90 92 140 150 182 192 224 234 282 284 350 360 374	696765864690
TPT(14)	2496839075271077219	0 2 48 50 102 104 138 140 222 224 258 260 408 410	1842691441950