Prime p₀= 2068600299316691417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 52 2 76 2

SPT(16)	2068598535358531663	0 6 28 34 36 78 100 120 154 174 196 238 240 246 268 274	-1763958159754
STPT(10)	2068598540421871691	0 2 36 38 78 80 120 122 156 158	-1758894819726
TPT(14)	2068598707958547689	0 2 12 14 78 80 150 152 210 212 330 332 348 350	-1591358143728
STPT(10)	2068598973496840451	0 2 6 8 18 20 30 32 36 38	-1325819850966
SPT(16)	2068599019733813051	0 66 90 102 168 192 212 216 242 246 266 290 356 368 392 458	-1279582878366
STPT(10)	2068599809203425611	0 2 36 38 78 80 120 122 156 158	-490113265806
SPT(16)	2068600389017866871	0 38 60 62 98 102 126 156 242 272 296 300 336 338 360 398	89701175454
STPT(10)	2068600671581249591	0 2 30 32 60 62 90 92 120 122	372264558174
STPT(10)	2068600676125240457	0 2 12 14 132 134 252 254 264 266	376808549040
SPT(16)	2068601268289732339	0 22 42 48 52 120 130 132 148 150 160 228 232 238 258 280	968973040922
STPT(10)	2068601384761033427	0 2 30 32 42 44 54 56 84 86	1085444342010