Prime p₀= 2162508352683419561 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)	2162506904061123083	0 44 116 126 146 150 158 164 210 216 224 228 248 258 330 374	-1448622296478
SPT(16)	2162507220480877631	0 12 26 56 96 110 126 152 186 212 228 242 282 312 326 338	-1132202541930
STPT(10)	2162507221457615531	0 2 36 38 78 80 120 122 156 158	-1131225804030
SPT(16)	2162507825880616637	0 26 44 80 104 126 132 164 222 254 260 282 306 342 360 386	-526802802924
TPT(14)	2162507996486702537	0 2 30 32 54 56 162 164 180 182 192 194 204 206	-356196717024
TPT(14)	2162508060843641309	0 2 12 14 42 44 78 80 120 122 192 194 240 242	-291839778252
STPT(10)	2162508420119077559	0 2 12 14 90 92 168 170 180 182	67435657998
SPT(16)	2162508512081720269	0 4 82 154 174 190 208 250 252 294 312 328 348 420 498 502	159398300708
SPT(16)	2162508546990833423	0 48 54 104 114 156 170 188 306 324 338 380 390 440 446 494	194307413862
STPT(10)	2162508866430516341	0 2 78 80 108 110 138 140 216 218	513747096780
SPT(16)	2162508938916802517	0 20 30 32 62 66 152 200 222 270 356 360 390 392 402 422	586233382956