Prime p₀= 2789143217843299547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2789140912179493031	0 6 18 20 98 146 150 186 212 248 252 300 378 380 392 398	-2305663806516
SPT(16)	2789140994075833223	0 24 80 84 120 158 164 168 176 180 186 224 260 264 320 344	-2223767466324
SPT(16)	2789141520759392563	0 6 46 48 58 76 88 118 156 186 198 216 226 228 268 274	-1697083906984
STPT(10)	2789141667794744159	0 2 18 20 30 32 42 44 60 62	-1550048555388
SPT(16)	2789142738103243199	0 18 30 74 84 104 150 168 170 188 234 254 264 308 320 338	-479740056348
SPT(16)	2789143095032539649	0 24 78 164 204 210 222 308 384 470 482 488 528 614 668 692	-122810759898
SPT(16)	2789143672492910549	0 12 78 104 144 168 182 194 258 270 284 308 348 374 440 452	454649611002
SPT(16)	2789143997190578221	0 12 18 36 78 120 126 166 192 232 238 280 322 340 346 358	779347278674
SPT(16)	2789144435196761203	0 16 46 70 106 150 168 226 288 346 364 408 444 468 498 514	1217353461656
SPT(16)	2789144630161469231	0 2 32 36 38 56 92 126 152 186 222 240 242 246 276 278	1412318169684
STPT(12)	2789144656757173931	0 2 30 32 60 62 108 110 138 140 168 170	1438913874384