Prime p₀= 2290292873646105707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2290291276475545117	0 36 40 42 60 84 102 112 144 154 172 196 214 216 220 256	-1597170560590
SPT(16)	2290291284143390167	0 70 76 94 106 120 136 154 216 234 250 264 276 294 300 370	-1589502715540
STPT(10)	2290291305557602481	0 2 36 38 78 80 120 122 156 158	-1568088503226
STPT(10)	2290291727799044771	0 2 6 8 48 50 90 92 96 98	-1145847060936
STPT(10)	2290291730774117009	0 2 18 20 60 62 102 104 120 122	-1142871988698
SPT(16)	2290292302033075441	0 28 72 90 132 142 190 222 268 300 348 358 400 418 462 490	-571613030266
SPT(16)	2290293789344201677	0 10 40 54 64 66 84 106 114 136 154 156 166 180 210 220	915698095970
STPT(10)	2290293850112678297	0 2 30 32 42 44 54 56 84 86	976466572590
STPT(10)	2290293993179274659	0 2 132 134 150 152 168 170 300 302	1119533168952
TPT(14)	2290294240896723947	0 2 30 32 144 146 174 176 240 242 342 344 420 422	1367250618240
STPT(10)	2290294388253852857	0 2 30 32 60 62 90 92 120 122	1514607747150