Prime p₀= 2499388826088545099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2499387477182650897	0 10 16 34 64 94 124 126 190 192 222 252 282 300 306 316	-1348905894202
STPT(10)	2499387848991241289	0 2 12 14 90 92 168 170 180 182	-977097303810
SPT(16)	2499387909112397573	0 56 98 114 156 168 176 204 260 288 296 308 350 366 408 464	-916976147526
SPT(16)	2499388216392523697	0 14 26 86 114 120 180 204 212 236 296 302 330 390 402 416	-609696021402
STPT(10)	2499388270270492199	0 2 18 20 30 32 42 44 60 62	-555818052900
STPT(10)	2499388759650397817	0 2 42 44 72 74 102 104 144 146	-66438147282
SPT(18)	2499389022606543451	0 28 30 88 102 108 112 130 142 168 180 198 202 208 222 280 282 310	196517998352
STPT(10)	2499389134473106661	0 2 36 38 78 80 120 122 156 158	308384561562
STPT(10)	2499389417540030579	0 2 12 14 90 92 168 170 180 182	591451485480
SPT(16)	2499389724881761861	0 6 10 18 42 58 66 70 108 112 120 136 160 168 172 178	898793216762
SPT(16)	2499389894408114731	0 46 58 66 88 106 136 156 190 210 240 258 280 288 300 346	1068319569632