Prime p₀= 2119397779062774209 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2119396838278873007	0 12 32 74 96 152 162 186 260 284 294 350 372 414 434 446	-940783901202
STPT(10)	2119396903439025137	0 2 54 56 72 74 90 92 144 146	-875623749072
SPT(16)	2119397005271978221	0 6 40 66 76 108 118 160 186 228 238 270 280 306 340 346	-773790795988
SPT(16)	2119397235147905329	0 40 60 82 102 130 138 172 180 214 222 250 270 292 312 352	-543914868880
TPT(14)	2119397311198781771	0 2 78 80 108 110 216 218 288 290 300 302 306 308	-467863992438
STPT(10)	2119397388978553499	0 2 12 14 30 32 48 50 60 62	-390084220710
STPT(12)	2119397793382847387	0 2 12 14 54 56 60 62 102 104 114 116	14320073178
STPT(10)	2119397937085251341	0 2 30 32 78 80 126 128 156 158	158022477132
STPT(10)	2119398897939760559	0 2 12 14 90 92 168 170 180 182	1118876986350
STPT(10)	2119399211213686151	0 2 36 38 78 80 120 122 156 158	1432150911942
SPT(16)	2119399645541636597	0 12 20 42 44 96 104 116 210 222 230 282 284 306 314 326	1866478862388