Prime p₀= 2768880794440401461 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)	2768878769881698953	0 20 50 204 230 240 254 306 374 426 440 450 476 630 660 680	-2024558702508
STPT(10)	2768878866240356027	0 2 12 14 72 74 132 134 144 146	-1928200045434
STPT(10)	2768878891216385807	0 2 30 32 72 74 114 116 144 146	-1903224015654
SPT(16)	2768878908248322923	0 30 56 84 96 104 110 138 176 204 210 218 230 258 284 314	-1886192078538
SPT(16)	2768879306631027839	0 2 14 30 60 72 74 98 144 168 170 182 212 228 240 242	-1487809373622
SPT(16)	2768880444348959173	0 16 18 24 36 48 90 120 184 214 256 268 280 286 288 304	-350091442288
SPT(16)	2768881760850033313	0 4 28 46 60 70 88 94 150 156 174 184 198 216 240 244	966409631852
SPT(16)	2768882092049901493	0 18 24 70 94 108 130 168 190 228 250 264 288 334 340 358	1297609500032
SPT(16)	2768882464083933919	0 24 30 40 52 64 94 124 138 168 198 210 222 232 238 262	1669643532458
SPT(16)	2768882969590899907	0 22 40 54 82 100 102 114 172 184 186 204 232 246 264 286	2175150498446
SPT(16)	2768883164465315561	0 20 42 48 68 72 108 146 192 230 266 270 290 296 318 338	2370024914100