Prime p₀= 2162588953235470811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2162587069047328631	0 12 80 92 116 140 236 242 270 276 372 396 420 432 500 512	-1884188142180
STPT(10)	2162587439576889839	0 2 42 44 90 92 138 140 180 182	-1513658580972
SPT(16)	2162587732545354133	0 34 78 88 94 118 138 144 154 160 180 204 210 220 264 298	-1220690116678
TPT(14)	2162588298993210941	0 2 66 68 138 140 150 152 156 158 180 182 240 242	-654242259870
SPT(16)	2162588615861225393	0 66 78 134 144 186 204 240 254 290 308 350 360 416 428 494	-337374245418
SPT(16)	2162588853093098147	0 6 14 44 84 86 156 174 212 230 300 302 342 372 380 386	-100142372664
SPT(16)	2162589596654508529	0 18 54 60 70 88 114 120 148 154 180 198 208 214 250 268	643419037718
STPT(10)	2162589677115921017	0 2 30 32 42 44 54 56 84 86	723880450206
SPT(16)	2162589964661676371	0 8 12 26 30 56 72 152 276 356 372 398 402 416 420 428	1011426205560
STPT(10)	2162589972472436537	0 2 30 32 60 62 90 92 120 122	1019236965726
STPT(10)	2162590018949334389	0 2 18 20 30 32 42 44 60 62	1065713863578