Prime p₀= 2813076315298199771 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: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2813073577307726353	0 10 76 96 136 190 196 210 286 300 306 360 400 420 486 496	-2737990473418
SPT(16)	2813073755251490279	0 20 44 80 104 108 128 138 164 174 194 198 222 258 282 302	-2560046709492
SPT(16)	2813074972399869743	0 20 38 54 80 108 168 174 230 236 296 324 350 366 384 404	-1342898330028
SPT(16)	2813075067742296661	0 10 42 72 76 132 150 166 192 208 226 282 286 316 348 358	-1247555903110
SPT(16)	2813075121688144829	0 14 24 54 60 90 104 164 168 228 242 272 278 308 318 332	-1193610054942
STPT(10)	2813075341217740097	0 2 30 32 102 104 174 176 204 206	-974080459674
SPT(16)	2813076338075773403	0 30 90 96 126 128 168 174 260 266 306 308 338 344 404 434	22777573632
SPT(16)	2813076388374770101	0 6 22 36 48 72 100 106 132 138 166 190 202 216 232 238	73076570330
SPT(16)	2813076535968331889	0 14 32 48 62 72 132 144 158 170 230 240 254 270 288 302	220670132118
SPT(16)	2813076798052127251	0 12 40 108 156 168 190 192 196 198 220 232 280 348 376 388	482753927480
STPT(10)	2813077570033106447	0 2 30 32 42 44 54 56 84 86	1254734906676